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Finding the Fourth Proportional to 10,442.52, 15,664.77 and 3,867.12

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Solution

The fourth proportional to 10,442.52, 15,664.77 and 3,867.12 is: 5,801.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,442.52 : 15,664.77 = 3,867.12 : x
  2. Step 2: Convert to fraction form
    10,442.52/15,664.77 = 3,867.12/x
  3. Step 3: Cross multiply
    10,442.52x = 15,664.77 × 3,867.12
  4. Step 4: Simplify right side
    10,442.52x = 60,577,545.36
  5. Step 5: Solve for x
    x = 60,577,545.36/10,442.52
  6. Step 6: Final answer
    x = 5,801.05

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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.