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Finding the Fourth Proportional to 10,452.86, 15,677.92 and 5,185.84

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Solution

The fourth proportional to 10,452.86, 15,677.92 and 5,185.84 is: 7,778.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,452.86 : 15,677.92 = 5,185.84 : x
  2. Step 2: Convert to fraction form
    10,452.86/15,677.92 = 5,185.84/x
  3. Step 3: Cross multiply
    10,452.86x = 15,677.92 × 5,185.84
  4. Step 4: Simplify right side
    10,452.86x = 81,303,184.65
  5. Step 5: Solve for x
    x = 81,303,184.65/10,452.86
  6. Step 6: Final answer
    x = 7,778.08

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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.