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Finding the Fourth Proportional to 10,556.64, 15,837.30 and 3,161.76

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Solution

The fourth proportional to 10,556.64, 15,837.30 and 3,161.76 is: 4,743.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,556.64 : 15,837.30 = 3,161.76 : x
  2. Step 2: Convert to fraction form
    10,556.64/15,837.30 = 3,161.76/x
  3. Step 3: Cross multiply
    10,556.64x = 15,837.30 × 3,161.76
  4. Step 4: Simplify right side
    10,556.64x = 50,073,741.65
  5. Step 5: Solve for x
    x = 50,073,741.65/10,556.64
  6. Step 6: Final answer
    x = 4,743.34

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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.