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Finding the Fourth Proportional to 8,438.18, 11,649.65 and 5,789.48

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Solution

The fourth proportional to 8,438.18, 11,649.65 and 5,789.48 is: 7,992.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,438.18 : 11,649.65 = 5,789.48 : x
  2. Step 2: Convert to fraction form
    8,438.18/11,649.65 = 5,789.48/x
  3. Step 3: Cross multiply
    8,438.18x = 11,649.65 × 5,789.48
  4. Step 4: Simplify right side
    8,438.18x = 67,445,328.49
  5. Step 5: Solve for x
    x = 67,445,328.49/8,438.18
  6. Step 6: Final answer
    x = 7,992.88

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