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Finding the Fourth Proportional to 10,425.57, 14,387.31 and 5,645.57

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Solution

The fourth proportional to 10,425.57, 14,387.31 and 5,645.57 is: 7,790.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,425.57 : 14,387.31 = 5,645.57 : x
  2. Step 2: Convert to fraction form
    10,425.57/14,387.31 = 5,645.57/x
  3. Step 3: Cross multiply
    10,425.57x = 14,387.31 × 5,645.57
  4. Step 4: Simplify right side
    10,425.57x = 81,224,493.78
  5. Step 5: Solve for x
    x = 81,224,493.78/10,425.57
  6. Step 6: Final answer
    x = 7,790.89

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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.