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Finding the Fourth Proportional to 11,461.18, 17,155.78 and 7,882.41

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Solution

The fourth proportional to 11,461.18, 17,155.78 and 7,882.41 is: 11,798.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,461.18 : 17,155.78 = 7,882.41 : x
  2. Step 2: Convert to fraction form
    11,461.18/17,155.78 = 7,882.41/x
  3. Step 3: Cross multiply
    11,461.18x = 17,155.78 × 7,882.41
  4. Step 4: Simplify right side
    11,461.18x = 135,228,980.80
  5. Step 5: Solve for x
    x = 135,228,980.80/11,461.18
  6. Step 6: Final answer
    x = 11,798.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.