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Finding the Fourth Proportional to 7,162.24, 9,878.16 and 4,799.92

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Solution

The fourth proportional to 7,162.24, 9,878.16 and 4,799.92 is: 6,620.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,162.24 : 9,878.16 = 4,799.92 : x
  2. Step 2: Convert to fraction form
    7,162.24/9,878.16 = 4,799.92/x
  3. Step 3: Cross multiply
    7,162.24x = 9,878.16 × 4,799.92
  4. Step 4: Simplify right side
    7,162.24x = 47,414,377.75
  5. Step 5: Solve for x
    x = 47,414,377.75/7,162.24
  6. Step 6: Final answer
    x = 6,620.05

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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.