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Finding the Fourth Proportional to 7,184.95, 10,761.01 and 6,463.24

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Solution

The fourth proportional to 7,184.95, 10,761.01 and 6,463.24 is: 9,680.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,184.95 : 10,761.01 = 6,463.24 : x
  2. Step 2: Convert to fraction form
    7,184.95/10,761.01 = 6,463.24/x
  3. Step 3: Cross multiply
    7,184.95x = 10,761.01 × 6,463.24
  4. Step 4: Simplify right side
    7,184.95x = 69,550,990.27
  5. Step 5: Solve for x
    x = 69,550,990.27/7,184.95
  6. Step 6: Final answer
    x = 9,680.09

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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.