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Finding the Fourth Proportional to 7,876.98, 10,870.24 and 4,340.27

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Solution

The fourth proportional to 7,876.98, 10,870.24 and 4,340.27 is: 5,989.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,876.98 : 10,870.24 = 4,340.27 : x
  2. Step 2: Convert to fraction form
    7,876.98/10,870.24 = 4,340.27/x
  3. Step 3: Cross multiply
    7,876.98x = 10,870.24 × 4,340.27
  4. Step 4: Simplify right side
    7,876.98x = 47,179,776.56
  5. Step 5: Solve for x
    x = 47,179,776.56/7,876.98
  6. Step 6: Final answer
    x = 5,989.58

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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.