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Finding the Fourth Proportional to 11,527.65, 15,902.33 and 8,874.09

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Solution

The fourth proportional to 11,527.65, 15,902.33 and 8,874.09 is: 12,241.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,527.65 : 15,902.33 = 8,874.09 : x
  2. Step 2: Convert to fraction form
    11,527.65/15,902.33 = 8,874.09/x
  3. Step 3: Cross multiply
    11,527.65x = 15,902.33 × 8,874.09
  4. Step 4: Simplify right side
    11,527.65x = 141,118,663.26
  5. Step 5: Solve for x
    x = 141,118,663.26/11,527.65
  6. Step 6: Final answer
    x = 12,241.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.