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Finding the Fourth Proportional to 10,488.76, 15,736.68 and 4,946.32

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Solution

The fourth proportional to 10,488.76, 15,736.68 and 4,946.32 is: 7,421.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,488.76 : 15,736.68 = 4,946.32 : x
  2. Step 2: Convert to fraction form
    10,488.76/15,736.68 = 4,946.32/x
  3. Step 3: Cross multiply
    10,488.76x = 15,736.68 × 4,946.32
  4. Step 4: Simplify right side
    10,488.76x = 77,838,655.02
  5. Step 5: Solve for x
    x = 77,838,655.02/10,488.76
  6. Step 6: Final answer
    x = 7,421.15

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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.