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Finding the Fourth Proportional to 10,285.97, 15,427.01 and 5,015.69

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Solution

The fourth proportional to 10,285.97, 15,427.01 and 5,015.69 is: 7,522.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,285.97 : 15,427.01 = 5,015.69 : x
  2. Step 2: Convert to fraction form
    10,285.97/15,427.01 = 5,015.69/x
  3. Step 3: Cross multiply
    10,285.97x = 15,427.01 × 5,015.69
  4. Step 4: Simplify right side
    10,285.97x = 77,377,099.79
  5. Step 5: Solve for x
    x = 77,377,099.79/10,285.97
  6. Step 6: Final answer
    x = 7,522.59

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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.