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Finding the Fourth Proportional to 11,403.78, 15,734.82 and 6,685.53

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Solution

The fourth proportional to 11,403.78, 15,734.82 and 6,685.53 is: 9,224.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,403.78 : 15,734.82 = 6,685.53 : x
  2. Step 2: Convert to fraction form
    11,403.78/15,734.82 = 6,685.53/x
  3. Step 3: Cross multiply
    11,403.78x = 15,734.82 × 6,685.53
  4. Step 4: Simplify right side
    11,403.78x = 105,195,611.15
  5. Step 5: Solve for x
    x = 105,195,611.15/11,403.78
  6. Step 6: Final answer
    x = 9,224.63

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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.