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Finding the Fourth Proportional to 11,306.74, 16,961.65 and 3,909.21

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Solution

The fourth proportional to 11,306.74, 16,961.65 and 3,909.21 is: 5,864.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,306.74 : 16,961.65 = 3,909.21 : x
  2. Step 2: Convert to fraction form
    11,306.74/16,961.65 = 3,909.21/x
  3. Step 3: Cross multiply
    11,306.74x = 16,961.65 × 3,909.21
  4. Step 4: Simplify right side
    11,306.74x = 66,306,695.82
  5. Step 5: Solve for x
    x = 66,306,695.82/11,306.74
  6. Step 6: Final answer
    x = 5,864.35

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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.