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Finding the Fourth Proportional to 7,778.25, 10,734.26 and 4,421.21

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Solution

The fourth proportional to 7,778.25, 10,734.26 and 4,421.21 is: 6,101.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,778.25 : 10,734.26 = 4,421.21 : x
  2. Step 2: Convert to fraction form
    7,778.25/10,734.26 = 4,421.21/x
  3. Step 3: Cross multiply
    7,778.25x = 10,734.26 × 4,421.21
  4. Step 4: Simplify right side
    7,778.25x = 47,458,341.88
  5. Step 5: Solve for x
    x = 47,458,341.88/7,778.25
  6. Step 6: Final answer
    x = 6,101.42

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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.