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Finding the Fourth Proportional to 11,147.31, 15,383.22 and 6,111.74

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Solution

The fourth proportional to 11,147.31, 15,383.22 and 6,111.74 is: 8,434.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,147.31 : 15,383.22 = 6,111.74 : x
  2. Step 2: Convert to fraction form
    11,147.31/15,383.22 = 6,111.74/x
  3. Step 3: Cross multiply
    11,147.31x = 15,383.22 × 6,111.74
  4. Step 4: Simplify right side
    11,147.31x = 94,018,164.09
  5. Step 5: Solve for x
    x = 94,018,164.09/11,147.31
  6. Step 6: Final answer
    x = 8,434.16

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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.