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Finding the Fourth Proportional to 10,492.07, 15,740.05 and 3,472.15

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Solution

The fourth proportional to 10,492.07, 15,740.05 and 3,472.15 is: 5,208.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,492.07 : 15,740.05 = 3,472.15 : x
  2. Step 2: Convert to fraction form
    10,492.07/15,740.05 = 3,472.15/x
  3. Step 3: Cross multiply
    10,492.07x = 15,740.05 × 3,472.15
  4. Step 4: Simplify right side
    10,492.07x = 54,651,718.55
  5. Step 5: Solve for x
    x = 54,651,718.55/10,492.07
  6. Step 6: Final answer
    x = 5,208.86

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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.