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Finding the Fourth Proportional to 7,882.53, 10,878.39 and 4,345.74

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Solution

The fourth proportional to 7,882.53, 10,878.39 and 4,345.74 is: 5,997.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,882.53 : 10,878.39 = 4,345.74 : x
  2. Step 2: Convert to fraction form
    7,882.53/10,878.39 = 4,345.74/x
  3. Step 3: Cross multiply
    7,882.53x = 10,878.39 × 4,345.74
  4. Step 4: Simplify right side
    7,882.53x = 47,274,654.56
  5. Step 5: Solve for x
    x = 47,274,654.56/7,882.53
  6. Step 6: Final answer
    x = 5,997.40

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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.