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Finding the Fourth Proportional to 8,311.14, 11,470.80 and 7,937.46

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Solution

The fourth proportional to 8,311.14, 11,470.80 and 7,937.46 is: 10,955.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,311.14 : 11,470.80 = 7,937.46 : x
  2. Step 2: Convert to fraction form
    8,311.14/11,470.80 = 7,937.46/x
  3. Step 3: Cross multiply
    8,311.14x = 11,470.80 × 7,937.46
  4. Step 4: Simplify right side
    8,311.14x = 91,049,001.29
  5. Step 5: Solve for x
    x = 91,049,001.29/8,311.14
  6. Step 6: Final answer
    x = 10,955.06

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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.