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Finding the Fourth Proportional to 8,113.20, 12,169.80 and 5,780.40

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Solution

The fourth proportional to 8,113.20, 12,169.80 and 5,780.40 is: 8,670.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,113.20 : 12,169.80 = 5,780.40 : x
  2. Step 2: Convert to fraction form
    8,113.20/12,169.80 = 5,780.40/x
  3. Step 3: Cross multiply
    8,113.20x = 12,169.80 × 5,780.40
  4. Step 4: Simplify right side
    8,113.20x = 70,346,311.92
  5. Step 5: Solve for x
    x = 70,346,311.92/8,113.20
  6. Step 6: Final answer
    x = 8,670.60

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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.