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Finding the Fourth Proportional to 10,114.92, 13,957.70 and 5,638.59

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Solution

The fourth proportional to 10,114.92, 13,957.70 and 5,638.59 is: 7,780.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,114.92 : 13,957.70 = 5,638.59 : x
  2. Step 2: Convert to fraction form
    10,114.92/13,957.70 = 5,638.59/x
  3. Step 3: Cross multiply
    10,114.92x = 13,957.70 × 5,638.59
  4. Step 4: Simplify right side
    10,114.92x = 78,701,747.64
  5. Step 5: Solve for x
    x = 78,701,747.64/10,114.92
  6. Step 6: Final answer
    x = 7,780.76

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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.