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Finding the Fourth Proportional to 7,884.14, 10,878.17 and 5,195.06

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Solution

The fourth proportional to 7,884.14, 10,878.17 and 5,195.06 is: 7,167.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,884.14 : 10,878.17 = 5,195.06 : x
  2. Step 2: Convert to fraction form
    7,884.14/10,878.17 = 5,195.06/x
  3. Step 3: Cross multiply
    7,884.14x = 10,878.17 × 5,195.06
  4. Step 4: Simplify right side
    7,884.14x = 56,512,665.47
  5. Step 5: Solve for x
    x = 56,512,665.47/7,884.14
  6. Step 6: Final answer
    x = 7,167.90

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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.