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Finding the Fourth Proportional to 11,266.34, 16,909.53 and 6,005.69

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Solution

The fourth proportional to 11,266.34, 16,909.53 and 6,005.69 is: 9,013.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,266.34 : 16,909.53 = 6,005.69 : x
  2. Step 2: Convert to fraction form
    11,266.34/16,909.53 = 6,005.69/x
  3. Step 3: Cross multiply
    11,266.34x = 16,909.53 × 6,005.69
  4. Step 4: Simplify right side
    11,266.34x = 101,553,351.57
  5. Step 5: Solve for x
    x = 101,553,351.57/11,266.34
  6. Step 6: Final answer
    x = 9,013.88

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