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Finding the Fourth Proportional to 10,463.31, 15,660.95 and 7,689.33

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Solution

The fourth proportional to 10,463.31, 15,660.95 and 7,689.33 is: 11,508.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,463.31 : 15,660.95 = 7,689.33 : x
  2. Step 2: Convert to fraction form
    10,463.31/15,660.95 = 7,689.33/x
  3. Step 3: Cross multiply
    10,463.31x = 15,660.95 × 7,689.33
  4. Step 4: Simplify right side
    10,463.31x = 120,422,174.22
  5. Step 5: Solve for x
    x = 120,422,174.22/10,463.31
  6. Step 6: Final answer
    x = 11,508.99

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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.