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Finding the Fourth Proportional to 8,001.14, 12,000.78 and 2,158.20

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Solution

The fourth proportional to 8,001.14, 12,000.78 and 2,158.20 is: 3,237.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,001.14 : 12,000.78 = 2,158.20 : x
  2. Step 2: Convert to fraction form
    8,001.14/12,000.78 = 2,158.20/x
  3. Step 3: Cross multiply
    8,001.14x = 12,000.78 × 2,158.20
  4. Step 4: Simplify right side
    8,001.14x = 25,900,083.40
  5. Step 5: Solve for x
    x = 25,900,083.40/8,001.14
  6. Step 6: Final answer
    x = 3,237.05

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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.