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Finding the Fourth Proportional to 10,463.50, 15,699.52 and 5,531.82

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Solution

The fourth proportional to 10,463.50, 15,699.52 and 5,531.82 is: 8,299.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,463.50 : 15,699.52 = 5,531.82 : x
  2. Step 2: Convert to fraction form
    10,463.50/15,699.52 = 5,531.82/x
  3. Step 3: Cross multiply
    10,463.50x = 15,699.52 × 5,531.82
  4. Step 4: Simplify right side
    10,463.50x = 86,846,918.73
  5. Step 5: Solve for x
    x = 86,846,918.73/10,463.50
  6. Step 6: Final answer
    x = 8,299.99

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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.