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Finding the Fourth Proportional to 10,125.61, 13,972.89 and 7,472.05

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Solution

The fourth proportional to 10,125.61, 13,972.89 and 7,472.05 is: 10,311.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,125.61 : 13,972.89 = 7,472.05 : x
  2. Step 2: Convert to fraction form
    10,125.61/13,972.89 = 7,472.05/x
  3. Step 3: Cross multiply
    10,125.61x = 13,972.89 × 7,472.05
  4. Step 4: Simplify right side
    10,125.61x = 104,406,132.72
  5. Step 5: Solve for x
    x = 104,406,132.72/10,125.61
  6. Step 6: Final answer
    x = 10,311.10

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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.