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Finding the Fourth Proportional to 8,177.74, 12,266.80 and 4,642.49

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Solution

The fourth proportional to 8,177.74, 12,266.80 and 4,642.49 is: 6,963.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,177.74 : 12,266.80 = 4,642.49 : x
  2. Step 2: Convert to fraction form
    8,177.74/12,266.80 = 4,642.49/x
  3. Step 3: Cross multiply
    8,177.74x = 12,266.80 × 4,642.49
  4. Step 4: Simplify right side
    8,177.74x = 56,948,515.39
  5. Step 5: Solve for x
    x = 56,948,515.39/8,177.74
  6. Step 6: Final answer
    x = 6,963.85

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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.