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Finding the Fourth Proportional to 10,578.90, 15,869.62 and 3,182.29

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Solution

The fourth proportional to 10,578.90, 15,869.62 and 3,182.29 is: 4,773.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,578.90 : 15,869.62 = 3,182.29 : x
  2. Step 2: Convert to fraction form
    10,578.90/15,869.62 = 3,182.29/x
  3. Step 3: Cross multiply
    10,578.90x = 15,869.62 × 3,182.29
  4. Step 4: Simplify right side
    10,578.90x = 50,501,697.33
  5. Step 5: Solve for x
    x = 50,501,697.33/10,578.90
  6. Step 6: Final answer
    x = 4,773.81

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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.