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Finding the Fourth Proportional to 7,906.42, 10,910.72 and 4,369.78

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Solution

The fourth proportional to 7,906.42, 10,910.72 and 4,369.78 is: 6,030.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,906.42 : 10,910.72 = 4,369.78 : x
  2. Step 2: Convert to fraction form
    7,906.42/10,910.72 = 4,369.78/x
  3. Step 3: Cross multiply
    7,906.42x = 10,910.72 × 4,369.78
  4. Step 4: Simplify right side
    7,906.42x = 47,677,446.04
  5. Step 5: Solve for x
    x = 47,677,446.04/7,906.42
  6. Step 6: Final answer
    x = 6,030.22

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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.