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Finding the Fourth Proportional to 7,866.20, 10,853.16 and 4,882.16

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Solution

The fourth proportional to 7,866.20, 10,853.16 and 4,882.16 is: 6,736.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,866.20 : 10,853.16 = 4,882.16 : x
  2. Step 2: Convert to fraction form
    7,866.20/10,853.16 = 4,882.16/x
  3. Step 3: Cross multiply
    7,866.20x = 10,853.16 × 4,882.16
  4. Step 4: Simplify right side
    7,866.20x = 52,986,863.63
  5. Step 5: Solve for x
    x = 52,986,863.63/7,866.20
  6. Step 6: Final answer
    x = 6,736.02

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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.