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Finding the Fourth Proportional to 7,863.68, 10,851.84 and 4,878.56

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Solution

The fourth proportional to 7,863.68, 10,851.84 and 4,878.56 is: 6,732.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,863.68 : 10,851.84 = 4,878.56 : x
  2. Step 2: Convert to fraction form
    7,863.68/10,851.84 = 4,878.56/x
  3. Step 3: Cross multiply
    7,863.68x = 10,851.84 × 4,878.56
  4. Step 4: Simplify right side
    7,863.68x = 52,941,352.55
  5. Step 5: Solve for x
    x = 52,941,352.55/7,863.68
  6. Step 6: Final answer
    x = 6,732.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.