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Finding the Fourth Proportional to 8,437.11, 11,624.22 and 5,882.46

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Solution

The fourth proportional to 8,437.11, 11,624.22 and 5,882.46 is: 8,104.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,437.11 : 11,624.22 = 5,882.46 : x
  2. Step 2: Convert to fraction form
    8,437.11/11,624.22 = 5,882.46/x
  3. Step 3: Cross multiply
    8,437.11x = 11,624.22 × 5,882.46
  4. Step 4: Simplify right side
    8,437.11x = 68,379,009.18
  5. Step 5: Solve for x
    x = 68,379,009.18/8,437.11
  6. Step 6: Final answer
    x = 8,104.55

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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.