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Finding the Fourth Proportional to 10,578.18, 15,865.72 and 2,786.98

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Solution

The fourth proportional to 10,578.18, 15,865.72 and 2,786.98 is: 4,180.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,578.18 : 15,865.72 = 2,786.98 : x
  2. Step 2: Convert to fraction form
    10,578.18/15,865.72 = 2,786.98/x
  3. Step 3: Cross multiply
    10,578.18x = 15,865.72 × 2,786.98
  4. Step 4: Simplify right side
    10,578.18x = 44,217,444.33
  5. Step 5: Solve for x
    x = 44,217,444.33/10,578.18
  6. Step 6: Final answer
    x = 4,180.06

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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.