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Finding the Fourth Proportional to 10,431.52, 15,624.12 and 7,464.44

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Solution

The fourth proportional to 10,431.52, 15,624.12 and 7,464.44 is: 11,180.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,431.52 : 15,624.12 = 7,464.44 : x
  2. Step 2: Convert to fraction form
    10,431.52/15,624.12 = 7,464.44/x
  3. Step 3: Cross multiply
    10,431.52x = 15,624.12 × 7,464.44
  4. Step 4: Simplify right side
    10,431.52x = 116,625,306.29
  5. Step 5: Solve for x
    x = 116,625,306.29/10,431.52
  6. Step 6: Final answer
    x = 11,180.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.