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Finding the Fourth Proportional to 11,185.28, 15,436.05 and 6,149.68

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Solution

The fourth proportional to 11,185.28, 15,436.05 and 6,149.68 is: 8,486.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,185.28 : 15,436.05 = 6,149.68 : x
  2. Step 2: Convert to fraction form
    11,185.28/15,436.05 = 6,149.68/x
  3. Step 3: Cross multiply
    11,185.28x = 15,436.05 × 6,149.68
  4. Step 4: Simplify right side
    11,185.28x = 94,926,767.96
  5. Step 5: Solve for x
    x = 94,926,767.96/11,185.28
  6. Step 6: Final answer
    x = 8,486.76

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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.