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Finding the Fourth Proportional to 8,557.92, 12,834.33 and 3,627.48

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Solution

The fourth proportional to 8,557.92, 12,834.33 and 3,627.48 is: 5,440.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,557.92 : 12,834.33 = 3,627.48 : x
  2. Step 2: Convert to fraction form
    8,557.92/12,834.33 = 3,627.48/x
  3. Step 3: Cross multiply
    8,557.92x = 12,834.33 × 3,627.48
  4. Step 4: Simplify right side
    8,557.92x = 46,556,275.39
  5. Step 5: Solve for x
    x = 46,556,275.39/8,557.92
  6. Step 6: Final answer
    x = 5,440.14

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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.