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Finding the Fourth Proportional to 10,060.75, 13,884.08 and 5,644.75

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Solution

The fourth proportional to 10,060.75, 13,884.08 and 5,644.75 is: 7,789.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,060.75 : 13,884.08 = 5,644.75 : x
  2. Step 2: Convert to fraction form
    10,060.75/13,884.08 = 5,644.75/x
  3. Step 3: Cross multiply
    10,060.75x = 13,884.08 × 5,644.75
  4. Step 4: Simplify right side
    10,060.75x = 78,372,160.58
  5. Step 5: Solve for x
    x = 78,372,160.58/10,060.75
  6. Step 6: Final answer
    x = 7,789.89

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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.