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Finding the Fourth Proportional to 11,008.75, 16,491.87 and 6,569.96

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Solution

The fourth proportional to 11,008.75, 16,491.87 and 6,569.96 is: 9,842.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,008.75 : 16,491.87 = 6,569.96 : x
  2. Step 2: Convert to fraction form
    11,008.75/16,491.87 = 6,569.96/x
  3. Step 3: Cross multiply
    11,008.75x = 16,491.87 × 6,569.96
  4. Step 4: Simplify right side
    11,008.75x = 108,350,926.23
  5. Step 5: Solve for x
    x = 108,350,926.23/11,008.75
  6. Step 6: Final answer
    x = 9,842.26

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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.