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Finding the Fourth Proportional to 10,377.20, 14,321.76 and 5,902.34

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Solution

The fourth proportional to 10,377.20, 14,321.76 and 5,902.34 is: 8,145.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,377.20 : 14,321.76 = 5,902.34 : x
  2. Step 2: Convert to fraction form
    10,377.20/14,321.76 = 5,902.34/x
  3. Step 3: Cross multiply
    10,377.20x = 14,321.76 × 5,902.34
  4. Step 4: Simplify right side
    10,377.20x = 84,531,896.92
  5. Step 5: Solve for x
    x = 84,531,896.92/10,377.20
  6. Step 6: Final answer
    x = 8,145.93

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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.