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Finding the Fourth Proportional to 10,332, 15,498 and 3,407.04

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Solution

The fourth proportional to 10,332, 15,498 and 3,407.04 is: 5,110.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,332 : 15,498 = 3,407.04 : x
  2. Step 2: Convert to fraction form
    10,332/15,498 = 3,407.04/x
  3. Step 3: Cross multiply
    10,332x = 15,498 × 3,407.04
  4. Step 4: Simplify right side
    10,332x = 52,802,305.92
  5. Step 5: Solve for x
    x = 52,802,305.92/10,332
  6. Step 6: Final answer
    x = 5,110.56

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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.