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Finding the Fourth Proportional to 10,191.77, 14,071.54 and 6,369.24

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Solution

The fourth proportional to 10,191.77, 14,071.54 and 6,369.24 is: 8,793.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,191.77 : 14,071.54 = 6,369.24 : x
  2. Step 2: Convert to fraction form
    10,191.77/14,071.54 = 6,369.24/x
  3. Step 3: Cross multiply
    10,191.77x = 14,071.54 × 6,369.24
  4. Step 4: Simplify right side
    10,191.77x = 89,625,015.43
  5. Step 5: Solve for x
    x = 89,625,015.43/10,191.77
  6. Step 6: Final answer
    x = 8,793.87

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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.