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Finding the Fourth Proportional to 8,348.82, 12,523.14 and 2,509.53

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Solution

The fourth proportional to 8,348.82, 12,523.14 and 2,509.53 is: 3,764.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,348.82 : 12,523.14 = 2,509.53 : x
  2. Step 2: Convert to fraction form
    8,348.82/12,523.14 = 2,509.53/x
  3. Step 3: Cross multiply
    8,348.82x = 12,523.14 × 2,509.53
  4. Step 4: Simplify right side
    8,348.82x = 31,427,195.52
  5. Step 5: Solve for x
    x = 31,427,195.52/8,348.82
  6. Step 6: Final answer
    x = 3,764.27

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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.