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Finding the Fourth Proportional to 11,042.30, 15,238.62 and 6,006.86

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Solution

The fourth proportional to 11,042.30, 15,238.62 and 6,006.86 is: 8,289.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,042.30 : 15,238.62 = 6,006.86 : x
  2. Step 2: Convert to fraction form
    11,042.30/15,238.62 = 6,006.86/x
  3. Step 3: Cross multiply
    11,042.30x = 15,238.62 × 6,006.86
  4. Step 4: Simplify right side
    11,042.30x = 91,536,256.93
  5. Step 5: Solve for x
    x = 91,536,256.93/11,042.30
  6. Step 6: Final answer
    x = 8,289.60

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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.