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Finding the Fourth Proportional to 10,414.64, 14,357.25 and 7,425.29

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Solution

The fourth proportional to 10,414.64, 14,357.25 and 7,425.29 is: 10,236.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,414.64 : 14,357.25 = 7,425.29 : x
  2. Step 2: Convert to fraction form
    10,414.64/14,357.25 = 7,425.29/x
  3. Step 3: Cross multiply
    10,414.64x = 14,357.25 × 7,425.29
  4. Step 4: Simplify right side
    10,414.64x = 106,606,780.75
  5. Step 5: Solve for x
    x = 106,606,780.75/10,414.64
  6. Step 6: Final answer
    x = 10,236.24

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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.