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Finding the Fourth Proportional to 8,370, 12,538.56 and 5,737.08

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Solution

The fourth proportional to 8,370, 12,538.56 and 5,737.08 is: 8,594.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,370 : 12,538.56 = 5,737.08 : x
  2. Step 2: Convert to fraction form
    8,370/12,538.56 = 5,737.08/x
  3. Step 3: Cross multiply
    8,370x = 12,538.56 × 5,737.08
  4. Step 4: Simplify right side
    8,370x = 71,934,721.80
  5. Step 5: Solve for x
    x = 71,934,721.80/8,370
  6. Step 6: Final answer
    x = 8,594.35

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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.