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Finding the Fourth Proportional to 11,146.57, 15,382.19 and 6,111

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Solution

The fourth proportional to 11,146.57, 15,382.19 and 6,111 is: 8,433.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,146.57 : 15,382.19 = 6,111 : x
  2. Step 2: Convert to fraction form
    11,146.57/15,382.19 = 6,111/x
  3. Step 3: Cross multiply
    11,146.57x = 15,382.19 × 6,111
  4. Step 4: Simplify right side
    11,146.57x = 94,000,578.37
  5. Step 5: Solve for x
    x = 94,000,578.37/11,146.57
  6. Step 6: Final answer
    x = 8,433.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.