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Finding the Fourth Proportional to 6,886.44, 10,329.84 and 5,245.92

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Solution

The fourth proportional to 6,886.44, 10,329.84 and 5,245.92 is: 7,869.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,886.44 : 10,329.84 = 5,245.92 : x
  2. Step 2: Convert to fraction form
    6,886.44/10,329.84 = 5,245.92/x
  3. Step 3: Cross multiply
    6,886.44x = 10,329.84 × 5,245.92
  4. Step 4: Simplify right side
    6,886.44x = 54,189,514.25
  5. Step 5: Solve for x
    x = 54,189,514.25/6,886.44
  6. Step 6: Final answer
    x = 7,869.02

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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.