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Finding the Fourth Proportional to 11,496.66, 17,244.95 and 3,176.65

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Solution

The fourth proportional to 11,496.66, 17,244.95 and 3,176.65 is: 4,764.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,496.66 : 17,244.95 = 3,176.65 : x
  2. Step 2: Convert to fraction form
    11,496.66/17,244.95 = 3,176.65/x
  3. Step 3: Cross multiply
    11,496.66x = 17,244.95 × 3,176.65
  4. Step 4: Simplify right side
    11,496.66x = 54,781,170.42
  5. Step 5: Solve for x
    x = 54,781,170.42/11,496.66
  6. Step 6: Final answer
    x = 4,764.96

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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.