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Finding the Fourth Proportional to 10,400.16, 15,602.28 and 3,381.96

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Solution

The fourth proportional to 10,400.16, 15,602.28 and 3,381.96 is: 5,073.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,400.16 : 15,602.28 = 3,381.96 : x
  2. Step 2: Convert to fraction form
    10,400.16/15,602.28 = 3,381.96/x
  3. Step 3: Cross multiply
    10,400.16x = 15,602.28 × 3,381.96
  4. Step 4: Simplify right side
    10,400.16x = 52,766,286.87
  5. Step 5: Solve for x
    x = 52,766,286.87/10,400.16
  6. Step 6: Final answer
    x = 5,073.60

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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.