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Finding the Fourth Proportional to 10,398.26, 14,350.01 and 5,922.20

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Solution

The fourth proportional to 10,398.26, 14,350.01 and 5,922.20 is: 8,172.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,398.26 : 14,350.01 = 5,922.20 : x
  2. Step 2: Convert to fraction form
    10,398.26/14,350.01 = 5,922.20/x
  3. Step 3: Cross multiply
    10,398.26x = 14,350.01 × 5,922.20
  4. Step 4: Simplify right side
    10,398.26x = 84,983,527.86
  5. Step 5: Solve for x
    x = 84,983,527.86/10,398.26
  6. Step 6: Final answer
    x = 8,172.86

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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.