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Finding the Fourth Proportional to 7,882.09, 10,882.35 and 4,901.98

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Solution

The fourth proportional to 7,882.09, 10,882.35 and 4,901.98 is: 6,767.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,882.09 : 10,882.35 = 4,901.98 : x
  2. Step 2: Convert to fraction form
    7,882.09/10,882.35 = 4,901.98/x
  3. Step 3: Cross multiply
    7,882.09x = 10,882.35 × 4,901.98
  4. Step 4: Simplify right side
    7,882.09x = 53,345,062.05
  5. Step 5: Solve for x
    x = 53,345,062.05/7,882.09
  6. Step 6: Final answer
    x = 6,767.88

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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.