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Finding the Fourth Proportional to 8,056.38, 12,084.54 and 7,871.85

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Solution

The fourth proportional to 8,056.38, 12,084.54 and 7,871.85 is: 11,807.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,056.38 : 12,084.54 = 7,871.85 : x
  2. Step 2: Convert to fraction form
    8,056.38/12,084.54 = 7,871.85/x
  3. Step 3: Cross multiply
    8,056.38x = 12,084.54 × 7,871.85
  4. Step 4: Simplify right side
    8,056.38x = 95,127,686.20
  5. Step 5: Solve for x
    x = 95,127,686.20/8,056.38
  6. Step 6: Final answer
    x = 11,807.75

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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.