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Finding the Fourth Proportional to 7,456.71, 11,182.66 and 3,296.62

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Solution

The fourth proportional to 7,456.71, 11,182.66 and 3,296.62 is: 4,943.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,456.71 : 11,182.66 = 3,296.62 : x
  2. Step 2: Convert to fraction form
    7,456.71/11,182.66 = 3,296.62/x
  3. Step 3: Cross multiply
    7,456.71x = 11,182.66 × 3,296.62
  4. Step 4: Simplify right side
    7,456.71x = 36,864,980.61
  5. Step 5: Solve for x
    x = 36,864,980.61/7,456.71
  6. Step 6: Final answer
    x = 4,943.87

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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.