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Finding the Fourth Proportional to 10,478, 15,717.18 and 3,552.68

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Solution

The fourth proportional to 10,478, 15,717.18 and 3,552.68 is: 5,329.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,478 : 15,717.18 = 3,552.68 : x
  2. Step 2: Convert to fraction form
    10,478/15,717.18 = 3,552.68/x
  3. Step 3: Cross multiply
    10,478x = 15,717.18 × 3,552.68
  4. Step 4: Simplify right side
    10,478x = 55,838,111.04
  5. Step 5: Solve for x
    x = 55,838,111.04/10,478
  6. Step 6: Final answer
    x = 5,329.08

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