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Finding the Fourth Proportional to 7,878.54, 11,821.39 and 2,948.56

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Solution

The fourth proportional to 7,878.54, 11,821.39 and 2,948.56 is: 4,424.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,878.54 : 11,821.39 = 2,948.56 : x
  2. Step 2: Convert to fraction form
    7,878.54/11,821.39 = 2,948.56/x
  3. Step 3: Cross multiply
    7,878.54x = 11,821.39 × 2,948.56
  4. Step 4: Simplify right side
    7,878.54x = 34,856,049.07
  5. Step 5: Solve for x
    x = 34,856,049.07/7,878.54
  6. Step 6: Final answer
    x = 4,424.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.