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Finding the Fourth Proportional to 6,377.82, 8,788.95 and 5,196.84

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Solution

The fourth proportional to 6,377.82, 8,788.95 and 5,196.84 is: 7,161.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,377.82 : 8,788.95 = 5,196.84 : x
  2. Step 2: Convert to fraction form
    6,377.82/8,788.95 = 5,196.84/x
  3. Step 3: Cross multiply
    6,377.82x = 8,788.95 × 5,196.84
  4. Step 4: Simplify right side
    6,377.82x = 45,674,766.92
  5. Step 5: Solve for x
    x = 45,674,766.92/6,377.82
  6. Step 6: Final answer
    x = 7,161.50

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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.