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Finding the Fourth Proportional to 10,025.31, 13,834.74 and 5,549.03

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Solution

The fourth proportional to 10,025.31, 13,834.74 and 5,549.03 is: 7,657.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,025.31 : 13,834.74 = 5,549.03 : x
  2. Step 2: Convert to fraction form
    10,025.31/13,834.74 = 5,549.03/x
  3. Step 3: Cross multiply
    10,025.31x = 13,834.74 × 5,549.03
  4. Step 4: Simplify right side
    10,025.31x = 76,769,318.13
  5. Step 5: Solve for x
    x = 76,769,318.13/10,025.31
  6. Step 6: Final answer
    x = 7,657.55

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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.