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Finding the Fourth Proportional to 10,602.73, 15,883.25 and 5,331.38

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Solution

The fourth proportional to 10,602.73, 15,883.25 and 5,331.38 is: 7,986.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,602.73 : 15,883.25 = 5,331.38 : x
  2. Step 2: Convert to fraction form
    10,602.73/15,883.25 = 5,331.38/x
  3. Step 3: Cross multiply
    10,602.73x = 15,883.25 × 5,331.38
  4. Step 4: Simplify right side
    10,602.73x = 84,679,535.31
  5. Step 5: Solve for x
    x = 84,679,535.31/10,602.73
  6. Step 6: Final answer
    x = 7,986.58

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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.