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Finding the Fourth Proportional to 7,882.91, 10,878.45 and 4,346.05

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Solution

The fourth proportional to 7,882.91, 10,878.45 and 4,346.05 is: 5,997.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,882.91 : 10,878.45 = 4,346.05 : x
  2. Step 2: Convert to fraction form
    7,882.91/10,878.45 = 4,346.05/x
  3. Step 3: Cross multiply
    7,882.91x = 10,878.45 × 4,346.05
  4. Step 4: Simplify right side
    7,882.91x = 47,278,287.62
  5. Step 5: Solve for x
    x = 47,278,287.62/7,882.91
  6. Step 6: Final answer
    x = 5,997.57

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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.