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Finding the Fourth Proportional to 11,141.72, 15,374.76 and 6,105.14

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Solution

The fourth proportional to 11,141.72, 15,374.76 and 6,105.14 is: 8,424.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,141.72 : 15,374.76 = 6,105.14 : x
  2. Step 2: Convert to fraction form
    11,141.72/15,374.76 = 6,105.14/x
  3. Step 3: Cross multiply
    11,141.72x = 15,374.76 × 6,105.14
  4. Step 4: Simplify right side
    11,141.72x = 93,865,062.27
  5. Step 5: Solve for x
    x = 93,865,062.27/11,141.72
  6. Step 6: Final answer
    x = 8,424.65

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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.