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Finding the Fourth Proportional to 8,357.68, 12,537.90 and 2,811.52

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Solution

The fourth proportional to 8,357.68, 12,537.90 and 2,811.52 is: 4,217.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,357.68 : 12,537.90 = 2,811.52 : x
  2. Step 2: Convert to fraction form
    8,357.68/12,537.90 = 2,811.52/x
  3. Step 3: Cross multiply
    8,357.68x = 12,537.90 × 2,811.52
  4. Step 4: Simplify right side
    8,357.68x = 35,250,556.61
  5. Step 5: Solve for x
    x = 35,250,556.61/8,357.68
  6. Step 6: Final answer
    x = 4,217.74

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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.