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Finding the Fourth Proportional to 11,147.01, 15,382.78 and 6,111.44

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Solution

The fourth proportional to 11,147.01, 15,382.78 and 6,111.44 is: 8,433.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,147.01 : 15,382.78 = 6,111.44 : x
  2. Step 2: Convert to fraction form
    11,147.01/15,382.78 = 6,111.44/x
  3. Step 3: Cross multiply
    11,147.01x = 15,382.78 × 6,111.44
  4. Step 4: Simplify right side
    11,147.01x = 94,010,937.00
  5. Step 5: Solve for x
    x = 94,010,937.00/11,147.01
  6. Step 6: Final answer
    x = 8,433.74

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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.