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Finding the Fourth Proportional to 7,884.64, 10,878.86 and 5,195.56

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Solution

The fourth proportional to 7,884.64, 10,878.86 and 5,195.56 is: 7,168.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,884.64 : 10,878.86 = 5,195.56 : x
  2. Step 2: Convert to fraction form
    7,884.64/10,878.86 = 5,195.56/x
  3. Step 3: Cross multiply
    7,884.64x = 10,878.86 × 5,195.56
  4. Step 4: Simplify right side
    7,884.64x = 56,521,689.49
  5. Step 5: Solve for x
    x = 56,521,689.49/7,884.64
  6. Step 6: Final answer
    x = 7,168.59

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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.