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Finding the Fourth Proportional to 7,878.33, 10,871.69 and 4,340.88

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Solution

The fourth proportional to 7,878.33, 10,871.69 and 4,340.88 is: 5,990.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,878.33 : 10,871.69 = 4,340.88 : x
  2. Step 2: Convert to fraction form
    7,878.33/10,871.69 = 4,340.88/x
  3. Step 3: Cross multiply
    7,878.33x = 10,871.69 × 4,340.88
  4. Step 4: Simplify right side
    7,878.33x = 47,192,679.98
  5. Step 5: Solve for x
    x = 47,192,679.98/7,878.33
  6. Step 6: Final answer
    x = 5,990.19

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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.