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Finding the Fourth Proportional to 8,234.85, 11,393.63 and 7,189.95

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Solution

The fourth proportional to 8,234.85, 11,393.63 and 7,189.95 is: 9,947.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,234.85 : 11,393.63 = 7,189.95 : x
  2. Step 2: Convert to fraction form
    8,234.85/11,393.63 = 7,189.95/x
  3. Step 3: Cross multiply
    8,234.85x = 11,393.63 × 7,189.95
  4. Step 4: Simplify right side
    8,234.85x = 81,919,594.07
  5. Step 5: Solve for x
    x = 81,919,594.07/8,234.85
  6. Step 6: Final answer
    x = 9,947.92

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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.