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Finding the Fourth Proportional to 8,126.46, 12,171.60 and 6,264

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Solution

The fourth proportional to 8,126.46, 12,171.60 and 6,264 is: 9,382.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,126.46 : 12,171.60 = 6,264 : x
  2. Step 2: Convert to fraction form
    8,126.46/12,171.60 = 6,264/x
  3. Step 3: Cross multiply
    8,126.46x = 12,171.60 × 6,264
  4. Step 4: Simplify right side
    8,126.46x = 76,242,902.40
  5. Step 5: Solve for x
    x = 76,242,902.40/8,126.46
  6. Step 6: Final answer
    x = 9,382.06

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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.