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Finding the Fourth Proportional to 11,418.53, 15,757.68 and 6,638.74

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Solution

The fourth proportional to 11,418.53, 15,757.68 and 6,638.74 is: 9,161.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,418.53 : 15,757.68 = 6,638.74 : x
  2. Step 2: Convert to fraction form
    11,418.53/15,757.68 = 6,638.74/x
  3. Step 3: Cross multiply
    11,418.53x = 15,757.68 × 6,638.74
  4. Step 4: Simplify right side
    11,418.53x = 104,611,134.74
  5. Step 5: Solve for x
    x = 104,611,134.74/11,418.53
  6. Step 6: Final answer
    x = 9,161.52

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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.