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Finding the Fourth Proportional to 8,505.57, 12,760.42 and 2,958.13

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Solution

The fourth proportional to 8,505.57, 12,760.42 and 2,958.13 is: 4,437.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,505.57 : 12,760.42 = 2,958.13 : x
  2. Step 2: Convert to fraction form
    8,505.57/12,760.42 = 2,958.13/x
  3. Step 3: Cross multiply
    8,505.57x = 12,760.42 × 2,958.13
  4. Step 4: Simplify right side
    8,505.57x = 37,746,981.21
  5. Step 5: Solve for x
    x = 37,746,981.21/8,505.57
  6. Step 6: Final answer
    x = 4,437.91

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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.