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Finding the Fourth Proportional to 7,442.82, 11,146.62 and 6,463.68

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Solution

The fourth proportional to 7,442.82, 11,146.62 and 6,463.68 is: 9,680.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,442.82 : 11,146.62 = 6,463.68 : x
  2. Step 2: Convert to fraction form
    7,442.82/11,146.62 = 6,463.68/x
  3. Step 3: Cross multiply
    7,442.82x = 11,146.62 × 6,463.68
  4. Step 4: Simplify right side
    7,442.82x = 72,048,184.76
  5. Step 5: Solve for x
    x = 72,048,184.76/7,442.82
  6. Step 6: Final answer
    x = 9,680.23

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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.