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Finding the Fourth Proportional to 7,864.80, 10,850.49 and 4,678.22

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Solution

The fourth proportional to 7,864.80, 10,850.49 and 4,678.22 is: 6,454.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,864.80 : 10,850.49 = 4,678.22 : x
  2. Step 2: Convert to fraction form
    7,864.80/10,850.49 = 4,678.22/x
  3. Step 3: Cross multiply
    7,864.80x = 10,850.49 × 4,678.22
  4. Step 4: Simplify right side
    7,864.80x = 50,760,979.33
  5. Step 5: Solve for x
    x = 50,760,979.33/7,864.80
  6. Step 6: Final answer
    x = 6,454.20

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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.