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Finding the Fourth Proportional to 10,373.01, 14,314.82 and 5,657.19

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Solution

The fourth proportional to 10,373.01, 14,314.82 and 5,657.19 is: 7,806.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,373.01 : 14,314.82 = 5,657.19 : x
  2. Step 2: Convert to fraction form
    10,373.01/14,314.82 = 5,657.19/x
  3. Step 3: Cross multiply
    10,373.01x = 14,314.82 × 5,657.19
  4. Step 4: Simplify right side
    10,373.01x = 80,981,656.56
  5. Step 5: Solve for x
    x = 80,981,656.56/10,373.01
  6. Step 6: Final answer
    x = 7,806.96

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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.