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Finding the Fourth Proportional to 7,665.90, 10,578.68 and 4,309.08

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Solution

The fourth proportional to 7,665.90, 10,578.68 and 4,309.08 is: 5,946.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,665.90 : 10,578.68 = 4,309.08 : x
  2. Step 2: Convert to fraction form
    7,665.90/10,578.68 = 4,309.08/x
  3. Step 3: Cross multiply
    7,665.90x = 10,578.68 × 4,309.08
  4. Step 4: Simplify right side
    7,665.90x = 45,584,378.41
  5. Step 5: Solve for x
    x = 45,584,378.41/7,665.90
  6. Step 6: Final answer
    x = 5,946.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.