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Finding the Fourth Proportional to 11,315.53, 15,614.15 and 6,278.44

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Solution

The fourth proportional to 11,315.53, 15,614.15 and 6,278.44 is: 8,663.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,315.53 : 15,614.15 = 6,278.44 : x
  2. Step 2: Convert to fraction form
    11,315.53/15,614.15 = 6,278.44/x
  3. Step 3: Cross multiply
    11,315.53x = 15,614.15 × 6,278.44
  4. Step 4: Simplify right side
    11,315.53x = 98,032,519.62
  5. Step 5: Solve for x
    x = 98,032,519.62/11,315.53
  6. Step 6: Final answer
    x = 8,663.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.