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Finding the Fourth Proportional to 10,556.66, 15,834.08 and 3,162.78

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Solution

The fourth proportional to 10,556.66, 15,834.08 and 3,162.78 is: 4,743.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,556.66 : 15,834.08 = 3,162.78 : x
  2. Step 2: Convert to fraction form
    10,556.66/15,834.08 = 3,162.78/x
  3. Step 3: Cross multiply
    10,556.66x = 15,834.08 × 3,162.78
  4. Step 4: Simplify right side
    10,556.66x = 50,079,719.45
  5. Step 5: Solve for x
    x = 50,079,719.45/10,556.66
  6. Step 6: Final answer
    x = 4,743.90

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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.