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Finding the Fourth Proportional to 8,616.80, 12,892.80 and 5,700.80

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Solution

The fourth proportional to 8,616.80, 12,892.80 and 5,700.80 is: 8,529.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,616.80 : 12,892.80 = 5,700.80 : x
  2. Step 2: Convert to fraction form
    8,616.80/12,892.80 = 5,700.80/x
  3. Step 3: Cross multiply
    8,616.80x = 12,892.80 × 5,700.80
  4. Step 4: Simplify right side
    8,616.80x = 73,499,274.24
  5. Step 5: Solve for x
    x = 73,499,274.24/8,616.80
  6. Step 6: Final answer
    x = 8,529.76

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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.