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Finding the Fourth Proportional to 8,490.42, 12,708.96 and 5,359.60

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Solution

The fourth proportional to 8,490.42, 12,708.96 and 5,359.60 is: 8,022.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,490.42 : 12,708.96 = 5,359.60 : x
  2. Step 2: Convert to fraction form
    8,490.42/12,708.96 = 5,359.60/x
  3. Step 3: Cross multiply
    8,490.42x = 12,708.96 × 5,359.60
  4. Step 4: Simplify right side
    8,490.42x = 68,114,942.02
  5. Step 5: Solve for x
    x = 68,114,942.02/8,490.42
  6. Step 6: Final answer
    x = 8,022.56

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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.