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Finding the Fourth Proportional to 10,060.99, 13,882.89 and 5,584.12

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Solution

The fourth proportional to 10,060.99, 13,882.89 and 5,584.12 is: 7,705.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,060.99 : 13,882.89 = 5,584.12 : x
  2. Step 2: Convert to fraction form
    10,060.99/13,882.89 = 5,584.12/x
  3. Step 3: Cross multiply
    10,060.99x = 13,882.89 × 5,584.12
  4. Step 4: Simplify right side
    10,060.99x = 77,523,723.71
  5. Step 5: Solve for x
    x = 77,523,723.71/10,060.99
  6. Step 6: Final answer
    x = 7,705.38

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Why These Related Problems?

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