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Finding the Fourth Proportional to 10,766.16, 16,150.50 and 5,222.52

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Solution

The fourth proportional to 10,766.16, 16,150.50 and 5,222.52 is: 7,834.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,766.16 : 16,150.50 = 5,222.52 : x
  2. Step 2: Convert to fraction form
    10,766.16/16,150.50 = 5,222.52/x
  3. Step 3: Cross multiply
    10,766.16x = 16,150.50 × 5,222.52
  4. Step 4: Simplify right side
    10,766.16x = 84,346,309.26
  5. Step 5: Solve for x
    x = 84,346,309.26/10,766.16
  6. Step 6: Final answer
    x = 7,834.39

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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.