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Finding the Fourth Proportional to 11,042.64, 15,238.80 and 6,007.05

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Solution

The fourth proportional to 11,042.64, 15,238.80 and 6,007.05 is: 8,289.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,042.64 : 15,238.80 = 6,007.05 : x
  2. Step 2: Convert to fraction form
    11,042.64/15,238.80 = 6,007.05/x
  3. Step 3: Cross multiply
    11,042.64x = 15,238.80 × 6,007.05
  4. Step 4: Simplify right side
    11,042.64x = 91,540,233.54
  5. Step 5: Solve for x
    x = 91,540,233.54/11,042.64
  6. Step 6: Final answer
    x = 8,289.71

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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.