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Finding the Fourth Proportional to 10,556.46, 15,832.67 and 3,980.88

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Solution

The fourth proportional to 10,556.46, 15,832.67 and 3,980.88 is: 5,970.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,556.46 : 15,832.67 = 3,980.88 : x
  2. Step 2: Convert to fraction form
    10,556.46/15,832.67 = 3,980.88/x
  3. Step 3: Cross multiply
    10,556.46x = 15,832.67 × 3,980.88
  4. Step 4: Simplify right side
    10,556.46x = 63,027,939.45
  5. Step 5: Solve for x
    x = 63,027,939.45/10,556.46
  6. Step 6: Final answer
    x = 5,970.56

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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.