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Finding the Fourth Proportional to 10,060.83, 13,882.35 and 5,584.49

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Solution

The fourth proportional to 10,060.83, 13,882.35 and 5,584.49 is: 7,705.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,060.83 : 13,882.35 = 5,584.49 : x
  2. Step 2: Convert to fraction form
    10,060.83/13,882.35 = 5,584.49/x
  3. Step 3: Cross multiply
    10,060.83x = 13,882.35 × 5,584.49
  4. Step 4: Simplify right side
    10,060.83x = 77,525,844.75
  5. Step 5: Solve for x
    x = 77,525,844.75/10,060.83
  6. Step 6: Final answer
    x = 7,705.71

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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.