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Finding the Fourth Proportional to 6,702.67, 10,055.75 and 2,542.76

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Solution

The fourth proportional to 6,702.67, 10,055.75 and 2,542.76 is: 3,814.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,702.67 : 10,055.75 = 2,542.76 : x
  2. Step 2: Convert to fraction form
    6,702.67/10,055.75 = 2,542.76/x
  3. Step 3: Cross multiply
    6,702.67x = 10,055.75 × 2,542.76
  4. Step 4: Simplify right side
    6,702.67x = 25,569,333.59
  5. Step 5: Solve for x
    x = 25,569,333.59/6,702.67
  6. Step 6: Final answer
    x = 3,814.80

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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.