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Finding the Fourth Proportional to 10,414.40, 14,356.91 and 7,425.04

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Solution

The fourth proportional to 10,414.40, 14,356.91 and 7,425.04 is: 10,235.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,414.40 : 14,356.91 = 7,425.04 : x
  2. Step 2: Convert to fraction form
    10,414.40/14,356.91 = 7,425.04/x
  3. Step 3: Cross multiply
    10,414.40x = 14,356.91 × 7,425.04
  4. Step 4: Simplify right side
    10,414.40x = 106,600,613.70
  5. Step 5: Solve for x
    x = 106,600,613.70/10,414.40
  6. Step 6: Final answer
    x = 10,235.89

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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.