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Finding the Fourth Proportional to 6,878.98, 10,319.28 and 5,158.54

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Solution

The fourth proportional to 6,878.98, 10,319.28 and 5,158.54 is: 7,738.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,878.98 : 10,319.28 = 5,158.54 : x
  2. Step 2: Convert to fraction form
    6,878.98/10,319.28 = 5,158.54/x
  3. Step 3: Cross multiply
    6,878.98x = 10,319.28 × 5,158.54
  4. Step 4: Simplify right side
    6,878.98x = 53,232,418.65
  5. Step 5: Solve for x
    x = 53,232,418.65/6,878.98
  6. Step 6: Final answer
    x = 7,738.42

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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.