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Finding the Fourth Proportional to 7,756.69, 11,639.45 and 6,456.18

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Solution

The fourth proportional to 7,756.69, 11,639.45 and 6,456.18 is: 9,687.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,756.69 : 11,639.45 = 6,456.18 : x
  2. Step 2: Convert to fraction form
    7,756.69/11,639.45 = 6,456.18/x
  3. Step 3: Cross multiply
    7,756.69x = 11,639.45 × 6,456.18
  4. Step 4: Simplify right side
    7,756.69x = 75,146,375.04
  5. Step 5: Solve for x
    x = 75,146,375.04/7,756.69
  6. Step 6: Final answer
    x = 9,687.95

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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.