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Finding the Fourth Proportional to 10,366.25, 15,551.81 and 3,440.75

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Solution

The fourth proportional to 10,366.25, 15,551.81 and 3,440.75 is: 5,161.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,366.25 : 15,551.81 = 3,440.75 : x
  2. Step 2: Convert to fraction form
    10,366.25/15,551.81 = 3,440.75/x
  3. Step 3: Cross multiply
    10,366.25x = 15,551.81 × 3,440.75
  4. Step 4: Simplify right side
    10,366.25x = 53,509,873.05
  5. Step 5: Solve for x
    x = 53,509,873.05/10,366.25
  6. Step 6: Final answer
    x = 5,161.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.