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Finding the Fourth Proportional to 7,696,519.60, 11,548,762.80 and 5,584,039.60

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Solution

The fourth proportional to 7,696,519.60, 11,548,762.80 and 5,584,039.60 is: 8,378,949.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,696,519.60 : 11,548,762.80 = 5,584,039.60 : x
  2. Step 2: Convert to fraction form
    7,696,519.60/11,548,762.80 = 5,584,039.60/x
  3. Step 3: Cross multiply
    7,696,519.60x = 11,548,762.80 × 5,584,039.60
  4. Step 4: Simplify right side
    7,696,519.60x = 64,488,748,806,206.88
  5. Step 5: Solve for x
    x = 64,488,748,806,206.88/7,696,519.60
  6. Step 6: Final answer
    x = 8,378,949.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.