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Finding the Fourth Proportional to 6,745.01, 10,117.49 and 5,187.78

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Solution

The fourth proportional to 6,745.01, 10,117.49 and 5,187.78 is: 7,781.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,745.01 : 10,117.49 = 5,187.78 : x
  2. Step 2: Convert to fraction form
    6,745.01/10,117.49 = 5,187.78/x
  3. Step 3: Cross multiply
    6,745.01x = 10,117.49 × 5,187.78
  4. Step 4: Simplify right side
    6,745.01x = 52,487,312.27
  5. Step 5: Solve for x
    x = 52,487,312.27/6,745.01
  6. Step 6: Final answer
    x = 7,781.65

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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.