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Finding the Fourth Proportional to 7,778.38, 10,734.13 and 4,421.34

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Solution

The fourth proportional to 7,778.38, 10,734.13 and 4,421.34 is: 6,101.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,778.38 : 10,734.13 = 4,421.34 : x
  2. Step 2: Convert to fraction form
    7,778.38/10,734.13 = 4,421.34/x
  3. Step 3: Cross multiply
    7,778.38x = 10,734.13 × 4,421.34
  4. Step 4: Simplify right side
    7,778.38x = 47,459,238.33
  5. Step 5: Solve for x
    x = 47,459,238.33/7,778.38
  6. Step 6: Final answer
    x = 6,101.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.