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Finding the Fourth Proportional to 11,042.76, 15,238.56 and 6,323.76

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Solution

The fourth proportional to 11,042.76, 15,238.56 and 6,323.76 is: 8,726.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,042.76 : 15,238.56 = 6,323.76 : x
  2. Step 2: Convert to fraction form
    11,042.76/15,238.56 = 6,323.76/x
  3. Step 3: Cross multiply
    11,042.76x = 15,238.56 × 6,323.76
  4. Step 4: Simplify right side
    11,042.76x = 96,364,996.19
  5. Step 5: Solve for x
    x = 96,364,996.19/11,042.76
  6. Step 6: Final answer
    x = 8,726.53

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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.