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Finding the Fourth Proportional to 10,060.67, 13,882.25 and 5,584.46

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Solution

The fourth proportional to 10,060.67, 13,882.25 and 5,584.46 is: 7,705.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,060.67 : 13,882.25 = 5,584.46 : x
  2. Step 2: Convert to fraction form
    10,060.67/13,882.25 = 5,584.46/x
  3. Step 3: Cross multiply
    10,060.67x = 13,882.25 × 5,584.46
  4. Step 4: Simplify right side
    10,060.67x = 77,524,772.50
  5. Step 5: Solve for x
    x = 77,524,772.50/10,060.67
  6. Step 6: Final answer
    x = 7,705.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.