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Finding the Fourth Proportional to 11,253.98, 16,891.58 and 5,711.31

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Solution

The fourth proportional to 11,253.98, 16,891.58 and 5,711.31 is: 8,572.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,253.98 : 16,891.58 = 5,711.31 : x
  2. Step 2: Convert to fraction form
    11,253.98/16,891.58 = 5,711.31/x
  3. Step 3: Cross multiply
    11,253.98x = 16,891.58 × 5,711.31
  4. Step 4: Simplify right side
    11,253.98x = 96,473,064.05
  5. Step 5: Solve for x
    x = 96,473,064.05/11,253.98
  6. Step 6: Final answer
    x = 8,572.35

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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.