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Finding the Fourth Proportional to 11,147.14, 15,382.74 and 6,111.10

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Solution

The fourth proportional to 11,147.14, 15,382.74 and 6,111.10 is: 8,433.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,147.14 : 15,382.74 = 6,111.10 : x
  2. Step 2: Convert to fraction form
    11,147.14/15,382.74 = 6,111.10/x
  3. Step 3: Cross multiply
    11,147.14x = 15,382.74 × 6,111.10
  4. Step 4: Simplify right side
    11,147.14x = 94,005,462.41
  5. Step 5: Solve for x
    x = 94,005,462.41/11,147.14
  6. Step 6: Final answer
    x = 8,433.15

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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.