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Finding the Fourth Proportional to 11,442.97, 17,167.20 and 4,775.76

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Solution

The fourth proportional to 11,442.97, 17,167.20 and 4,775.76 is: 7,164.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,442.97 : 17,167.20 = 4,775.76 : x
  2. Step 2: Convert to fraction form
    11,442.97/17,167.20 = 4,775.76/x
  3. Step 3: Cross multiply
    11,442.97x = 17,167.20 × 4,775.76
  4. Step 4: Simplify right side
    11,442.97x = 81,986,403.19
  5. Step 5: Solve for x
    x = 81,986,403.19/11,442.97
  6. Step 6: Final answer
    x = 7,164.78

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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.