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Finding the Fourth Proportional to 8,666.50, 13,001.34 and 2,744.89

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Solution

The fourth proportional to 8,666.50, 13,001.34 and 2,744.89 is: 4,117.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,666.50 : 13,001.34 = 2,744.89 : x
  2. Step 2: Convert to fraction form
    8,666.50/13,001.34 = 2,744.89/x
  3. Step 3: Cross multiply
    8,666.50x = 13,001.34 × 2,744.89
  4. Step 4: Simplify right side
    8,666.50x = 35,687,248.15
  5. Step 5: Solve for x
    x = 35,687,248.15/8,666.50
  6. Step 6: Final answer
    x = 4,117.84

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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.