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Finding the Fourth Proportional to 11,146.82, 15,382.02 and 6,111.05

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Solution

The fourth proportional to 11,146.82, 15,382.02 and 6,111.05 is: 8,432.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,146.82 : 15,382.02 = 6,111.05 : x
  2. Step 2: Convert to fraction form
    11,146.82/15,382.02 = 6,111.05/x
  3. Step 3: Cross multiply
    11,146.82x = 15,382.02 × 6,111.05
  4. Step 4: Simplify right side
    11,146.82x = 94,000,293.32
  5. Step 5: Solve for x
    x = 94,000,293.32/11,146.82
  6. Step 6: Final answer
    x = 8,432.92

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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.