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Finding the Fourth Proportional to 11,496.52, 17,245.86 and 3,177.10

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Solution

The fourth proportional to 11,496.52, 17,245.86 and 3,177.10 is: 4,765.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,496.52 : 17,245.86 = 3,177.10 : x
  2. Step 2: Convert to fraction form
    11,496.52/17,245.86 = 3,177.10/x
  3. Step 3: Cross multiply
    11,496.52x = 17,245.86 × 3,177.10
  4. Step 4: Simplify right side
    11,496.52x = 54,791,821.81
  5. Step 5: Solve for x
    x = 54,791,821.81/11,496.52
  6. Step 6: Final answer
    x = 4,765.95

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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.