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Finding the Fourth Proportional to 7,473.92, 10,314.24 and 4,116.48

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Solution

The fourth proportional to 7,473.92, 10,314.24 and 4,116.48 is: 5,680.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,473.92 : 10,314.24 = 4,116.48 : x
  2. Step 2: Convert to fraction form
    7,473.92/10,314.24 = 4,116.48/x
  3. Step 3: Cross multiply
    7,473.92x = 10,314.24 × 4,116.48
  4. Step 4: Simplify right side
    7,473.92x = 42,458,362.68
  5. Step 5: Solve for x
    x = 42,458,362.68/7,473.92
  6. Step 6: Final answer
    x = 5,680.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.