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Finding the Fourth Proportional to 6,778.01, 10,148.52 and 5,129.57

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Solution

The fourth proportional to 6,778.01, 10,148.52 and 5,129.57 is: 7,680.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,778.01 : 10,148.52 = 5,129.57 : x
  2. Step 2: Convert to fraction form
    6,778.01/10,148.52 = 5,129.57/x
  3. Step 3: Cross multiply
    6,778.01x = 10,148.52 × 5,129.57
  4. Step 4: Simplify right side
    6,778.01x = 52,057,543.74
  5. Step 5: Solve for x
    x = 52,057,543.74/6,778.01
  6. Step 6: Final answer
    x = 7,680.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.