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Finding the Fourth Proportional to 10,445.15, 14,414.18 and 5,729.42

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Solution

The fourth proportional to 10,445.15, 14,414.18 and 5,729.42 is: 7,906.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,445.15 : 14,414.18 = 5,729.42 : x
  2. Step 2: Convert to fraction form
    10,445.15/14,414.18 = 5,729.42/x
  3. Step 3: Cross multiply
    10,445.15x = 14,414.18 × 5,729.42
  4. Step 4: Simplify right side
    10,445.15x = 82,584,790.46
  5. Step 5: Solve for x
    x = 82,584,790.46/10,445.15
  6. Step 6: Final answer
    x = 7,906.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.