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Finding the Fourth Proportional to 11,689.85, 17,534.76 and 2,924.75

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Solution

The fourth proportional to 11,689.85, 17,534.76 and 2,924.75 is: 4,387.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,689.85 : 17,534.76 = 2,924.75 : x
  2. Step 2: Convert to fraction form
    11,689.85/17,534.76 = 2,924.75/x
  3. Step 3: Cross multiply
    11,689.85x = 17,534.76 × 2,924.75
  4. Step 4: Simplify right side
    11,689.85x = 51,284,833.15
  5. Step 5: Solve for x
    x = 51,284,833.15/11,689.85
  6. Step 6: Final answer
    x = 4,387.13

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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.