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Finding the Fourth Proportional to 8,078.66, 12,113.03 and 3,142.55

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Solution

The fourth proportional to 8,078.66, 12,113.03 and 3,142.55 is: 4,711.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,078.66 : 12,113.03 = 3,142.55 : x
  2. Step 2: Convert to fraction form
    8,078.66/12,113.03 = 3,142.55/x
  3. Step 3: Cross multiply
    8,078.66x = 12,113.03 × 3,142.55
  4. Step 4: Simplify right side
    8,078.66x = 38,065,840.57
  5. Step 5: Solve for x
    x = 38,065,840.57/8,078.66
  6. Step 6: Final answer
    x = 4,711.90

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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.