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Finding the Fourth Proportional to 7,380.92, 10,189.86 and 4,867.40

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Solution

The fourth proportional to 7,380.92, 10,189.86 and 4,867.40 is: 6,719.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,380.92 : 10,189.86 = 4,867.40 : x
  2. Step 2: Convert to fraction form
    7,380.92/10,189.86 = 4,867.40/x
  3. Step 3: Cross multiply
    7,380.92x = 10,189.86 × 4,867.40
  4. Step 4: Simplify right side
    7,380.92x = 49,598,124.56
  5. Step 5: Solve for x
    x = 49,598,124.56/7,380.92
  6. Step 6: Final answer
    x = 6,719.78

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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.