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Finding the Fourth Proportional to 8,234.70, 11,359.80 and 5,878.26

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Solution

The fourth proportional to 8,234.70, 11,359.80 and 5,878.26 is: 8,109.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,234.70 : 11,359.80 = 5,878.26 : x
  2. Step 2: Convert to fraction form
    8,234.70/11,359.80 = 5,878.26/x
  3. Step 3: Cross multiply
    8,234.70x = 11,359.80 × 5,878.26
  4. Step 4: Simplify right side
    8,234.70x = 66,775,857.95
  5. Step 5: Solve for x
    x = 66,775,857.95/8,234.70
  6. Step 6: Final answer
    x = 8,109.08

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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.