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Finding the Fourth Proportional to 7,778.80, 10,734.33 and 4,421.15

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Solution

The fourth proportional to 7,778.80, 10,734.33 and 4,421.15 is: 6,100.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,778.80 : 10,734.33 = 4,421.15 : x
  2. Step 2: Convert to fraction form
    7,778.80/10,734.33 = 4,421.15/x
  3. Step 3: Cross multiply
    7,778.80x = 10,734.33 × 4,421.15
  4. Step 4: Simplify right side
    7,778.80x = 47,458,060.97
  5. Step 5: Solve for x
    x = 47,458,060.97/7,778.80
  6. Step 6: Final answer
    x = 6,100.95

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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.