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Finding the Fourth Proportional to 8,140.64, 12,177.52 and 6,500.40

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Solution

The fourth proportional to 8,140.64, 12,177.52 and 6,500.40 is: 9,723.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,140.64 : 12,177.52 = 6,500.40 : x
  2. Step 2: Convert to fraction form
    8,140.64/12,177.52 = 6,500.40/x
  3. Step 3: Cross multiply
    8,140.64x = 12,177.52 × 6,500.40
  4. Step 4: Simplify right side
    8,140.64x = 79,158,751.01
  5. Step 5: Solve for x
    x = 79,158,751.01/8,140.64
  6. Step 6: Final answer
    x = 9,723.90

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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.