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Finding the Fourth Proportional to 8,438.52, 11,649.96 and 5,605.08

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Solution

The fourth proportional to 8,438.52, 11,649.96 and 5,605.08 is: 7,738.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,438.52 : 11,649.96 = 5,605.08 : x
  2. Step 2: Convert to fraction form
    8,438.52/11,649.96 = 5,605.08/x
  3. Step 3: Cross multiply
    8,438.52x = 11,649.96 × 5,605.08
  4. Step 4: Simplify right side
    8,438.52x = 65,298,957.80
  5. Step 5: Solve for x
    x = 65,298,957.80/8,438.52
  6. Step 6: Final answer
    x = 7,738.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.