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Finding the Fourth Proportional to 7,868.58, 10,855.17 and 4,878.42

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Solution

The fourth proportional to 7,868.58, 10,855.17 and 4,878.42 is: 6,730.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,868.58 : 10,855.17 = 4,878.42 : x
  2. Step 2: Convert to fraction form
    7,868.58/10,855.17 = 4,878.42/x
  3. Step 3: Cross multiply
    7,868.58x = 10,855.17 × 4,878.42
  4. Step 4: Simplify right side
    7,868.58x = 52,956,078.43
  5. Step 5: Solve for x
    x = 52,956,078.43/7,868.58
  6. Step 6: Final answer
    x = 6,730.07

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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.