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Finding the Fourth Proportional to 10,957.41, 15,120.31 and 6,111.83

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Solution

The fourth proportional to 10,957.41, 15,120.31 and 6,111.83 is: 8,433.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,957.41 : 15,120.31 = 6,111.83 : x
  2. Step 2: Convert to fraction form
    10,957.41/15,120.31 = 6,111.83/x
  3. Step 3: Cross multiply
    10,957.41x = 15,120.31 × 6,111.83
  4. Step 4: Simplify right side
    10,957.41x = 92,412,786.79
  5. Step 5: Solve for x
    x = 92,412,786.79/10,957.41
  6. Step 6: Final answer
    x = 8,433.82

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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.