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Finding the Fourth Proportional to 8,711.98, 13,077.18 and 5,427.34

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Solution

The fourth proportional to 8,711.98, 13,077.18 and 5,427.34 is: 8,146.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,711.98 : 13,077.18 = 5,427.34 : x
  2. Step 2: Convert to fraction form
    8,711.98/13,077.18 = 5,427.34/x
  3. Step 3: Cross multiply
    8,711.98x = 13,077.18 × 5,427.34
  4. Step 4: Simplify right side
    8,711.98x = 70,974,269.41
  5. Step 5: Solve for x
    x = 70,974,269.41/8,711.98
  6. Step 6: Final answer
    x = 8,146.75

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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.