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Finding the Fourth Proportional to 7,809.85, 11,701.82 and 5,496.49

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Solution

The fourth proportional to 7,809.85, 11,701.82 and 5,496.49 is: 8,235.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,809.85 : 11,701.82 = 5,496.49 : x
  2. Step 2: Convert to fraction form
    7,809.85/11,701.82 = 5,496.49/x
  3. Step 3: Cross multiply
    7,809.85x = 11,701.82 × 5,496.49
  4. Step 4: Simplify right side
    7,809.85x = 64,318,909.13
  5. Step 5: Solve for x
    x = 64,318,909.13/7,809.85
  6. Step 6: Final answer
    x = 8,235.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.