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Finding the Fourth Proportional to 10,327.96, 14,252.04 and 5,612.22

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Solution

The fourth proportional to 10,327.96, 14,252.04 and 5,612.22 is: 7,744.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,327.96 : 14,252.04 = 5,612.22 : x
  2. Step 2: Convert to fraction form
    10,327.96/14,252.04 = 5,612.22/x
  3. Step 3: Cross multiply
    10,327.96x = 14,252.04 × 5,612.22
  4. Step 4: Simplify right side
    10,327.96x = 79,985,583.93
  5. Step 5: Solve for x
    x = 79,985,583.93/10,327.96
  6. Step 6: Final answer
    x = 7,744.57

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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.