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Finding the Fourth Proportional to 11,294.02, 16,934.17 and 5,052.87

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Solution

The fourth proportional to 11,294.02, 16,934.17 and 5,052.87 is: 7,576.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,294.02 : 16,934.17 = 5,052.87 : x
  2. Step 2: Convert to fraction form
    11,294.02/16,934.17 = 5,052.87/x
  3. Step 3: Cross multiply
    11,294.02x = 16,934.17 × 5,052.87
  4. Step 4: Simplify right side
    11,294.02x = 85,566,159.57
  5. Step 5: Solve for x
    x = 85,566,159.57/11,294.02
  6. Step 6: Final answer
    x = 7,576.24

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Why These Related Problems?

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