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Finding the Fourth Proportional to 7,835.70, 10,811.11 and 5,042.82

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Solution

The fourth proportional to 7,835.70, 10,811.11 and 5,042.82 is: 6,957.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,835.70 : 10,811.11 = 5,042.82 : x
  2. Step 2: Convert to fraction form
    7,835.70/10,811.11 = 5,042.82/x
  3. Step 3: Cross multiply
    7,835.70x = 10,811.11 × 5,042.82
  4. Step 4: Simplify right side
    7,835.70x = 54,518,481.73
  5. Step 5: Solve for x
    x = 54,518,481.73/7,835.70
  6. Step 6: Final answer
    x = 6,957.70

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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.