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Finding the Fourth Proportional to 10,552.14, 14,561.96 and 6,361.20

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Solution

The fourth proportional to 10,552.14, 14,561.96 and 6,361.20 is: 8,778.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,552.14 : 14,561.96 = 6,361.20 : x
  2. Step 2: Convert to fraction form
    10,552.14/14,561.96 = 6,361.20/x
  3. Step 3: Cross multiply
    10,552.14x = 14,561.96 × 6,361.20
  4. Step 4: Simplify right side
    10,552.14x = 92,631,508.15
  5. Step 5: Solve for x
    x = 92,631,508.15/10,552.14
  6. Step 6: Final answer
    x = 8,778.46

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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.