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Finding the Fourth Proportional to 11,146.92, 15,382.54 and 6,111

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Solution

The fourth proportional to 11,146.92, 15,382.54 and 6,111 is: 8,433.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,146.92 : 15,382.54 = 6,111 : x
  2. Step 2: Convert to fraction form
    11,146.92/15,382.54 = 6,111/x
  3. Step 3: Cross multiply
    11,146.92x = 15,382.54 × 6,111
  4. Step 4: Simplify right side
    11,146.92x = 94,002,701.94
  5. Step 5: Solve for x
    x = 94,002,701.94/11,146.92
  6. Step 6: Final answer
    x = 8,433.07

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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.