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Finding the Fourth Proportional to 11,042.13, 15,238.21 and 6,006.40

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Solution

The fourth proportional to 11,042.13, 15,238.21 and 6,006.40 is: 8,288.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,042.13 : 15,238.21 = 6,006.40 : x
  2. Step 2: Convert to fraction form
    11,042.13/15,238.21 = 6,006.40/x
  3. Step 3: Cross multiply
    11,042.13x = 15,238.21 × 6,006.40
  4. Step 4: Simplify right side
    11,042.13x = 91,526,784.54
  5. Step 5: Solve for x
    x = 91,526,784.54/11,042.13
  6. Step 6: Final answer
    x = 8,288.87

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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.