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Finding the Fourth Proportional to 7,778.74, 10,734.24 and 4,421.09

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Solution

The fourth proportional to 7,778.74, 10,734.24 and 4,421.09 is: 6,100.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,778.74 : 10,734.24 = 4,421.09 : x
  2. Step 2: Convert to fraction form
    7,778.74/10,734.24 = 4,421.09/x
  3. Step 3: Cross multiply
    7,778.74x = 10,734.24 × 4,421.09
  4. Step 4: Simplify right side
    7,778.74x = 47,456,999.29
  5. Step 5: Solve for x
    x = 47,456,999.29/7,778.74
  6. Step 6: Final answer
    x = 6,100.86

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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.