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Finding the Fourth Proportional to 10,806.52, 16,216.04 and 4,232.40

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Solution

The fourth proportional to 10,806.52, 16,216.04 and 4,232.40 is: 6,351.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,806.52 : 16,216.04 = 4,232.40 : x
  2. Step 2: Convert to fraction form
    10,806.52/16,216.04 = 4,232.40/x
  3. Step 3: Cross multiply
    10,806.52x = 16,216.04 × 4,232.40
  4. Step 4: Simplify right side
    10,806.52x = 68,632,767.70
  5. Step 5: Solve for x
    x = 68,632,767.70/10,806.52
  6. Step 6: Final answer
    x = 6,351.05

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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.