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Finding the Fourth Proportional to 8,505.48, 12,758.24 and 2,582.41

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Solution

The fourth proportional to 8,505.48, 12,758.24 and 2,582.41 is: 3,873.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,505.48 : 12,758.24 = 2,582.41 : x
  2. Step 2: Convert to fraction form
    8,505.48/12,758.24 = 2,582.41/x
  3. Step 3: Cross multiply
    8,505.48x = 12,758.24 × 2,582.41
  4. Step 4: Simplify right side
    8,505.48x = 32,947,006.56
  5. Step 5: Solve for x
    x = 32,947,006.56/8,505.48
  6. Step 6: Final answer
    x = 3,873.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.