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Finding the Fourth Proportional to 8,114.13, 12,171.78 and 2,848.55

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Solution

The fourth proportional to 8,114.13, 12,171.78 and 2,848.55 is: 4,273.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,114.13 : 12,171.78 = 2,848.55 : x
  2. Step 2: Convert to fraction form
    8,114.13/12,171.78 = 2,848.55/x
  3. Step 3: Cross multiply
    8,114.13x = 12,171.78 × 2,848.55
  4. Step 4: Simplify right side
    8,114.13x = 34,671,863.06
  5. Step 5: Solve for x
    x = 34,671,863.06/8,114.13
  6. Step 6: Final answer
    x = 4,273.02

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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.