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Finding the Fourth Proportional to 8,110.20, 12,139.70 and 7,854.20

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Solution

The fourth proportional to 8,110.20, 12,139.70 and 7,854.20 is: 11,756.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,110.20 : 12,139.70 = 7,854.20 : x
  2. Step 2: Convert to fraction form
    8,110.20/12,139.70 = 7,854.20/x
  3. Step 3: Cross multiply
    8,110.20x = 12,139.70 × 7,854.20
  4. Step 4: Simplify right side
    8,110.20x = 95,347,631.74
  5. Step 5: Solve for x
    x = 95,347,631.74/8,110.20
  6. Step 6: Final answer
    x = 11,756.51

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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.