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Finding the Fourth Proportional to 10,354.96, 14,286.54 and 6,161.32

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Solution

The fourth proportional to 10,354.96, 14,286.54 and 6,161.32 is: 8,500.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,354.96 : 14,286.54 = 6,161.32 : x
  2. Step 2: Convert to fraction form
    10,354.96/14,286.54 = 6,161.32/x
  3. Step 3: Cross multiply
    10,354.96x = 14,286.54 × 6,161.32
  4. Step 4: Simplify right side
    10,354.96x = 88,023,944.63
  5. Step 5: Solve for x
    x = 88,023,944.63/10,354.96
  6. Step 6: Final answer
    x = 8,500.66

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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.