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Finding the Fourth Proportional to 7,878.60, 10,869.42 and 4,520.20

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Solution

The fourth proportional to 7,878.60, 10,869.42 and 4,520.20 is: 6,236.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,878.60 : 10,869.42 = 4,520.20 : x
  2. Step 2: Convert to fraction form
    7,878.60/10,869.42 = 4,520.20/x
  3. Step 3: Cross multiply
    7,878.60x = 10,869.42 × 4,520.20
  4. Step 4: Simplify right side
    7,878.60x = 49,131,952.28
  5. Step 5: Solve for x
    x = 49,131,952.28/7,878.60
  6. Step 6: Final answer
    x = 6,236.13

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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.