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Finding the Fourth Proportional to 8,113.38, 12,164.59 and 6,527.80

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Solution

The fourth proportional to 8,113.38, 12,164.59 and 6,527.80 is: 9,787.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,113.38 : 12,164.59 = 6,527.80 : x
  2. Step 2: Convert to fraction form
    8,113.38/12,164.59 = 6,527.80/x
  3. Step 3: Cross multiply
    8,113.38x = 12,164.59 × 6,527.80
  4. Step 4: Simplify right side
    8,113.38x = 79,408,010.60
  5. Step 5: Solve for x
    x = 79,408,010.60/8,113.38
  6. Step 6: Final answer
    x = 9,787.29

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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.