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Finding the Fourth Proportional to 10,575.75, 15,863.01 and 3,180.05

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Solution

The fourth proportional to 10,575.75, 15,863.01 and 3,180.05 is: 4,769.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,575.75 : 15,863.01 = 3,180.05 : x
  2. Step 2: Convert to fraction form
    10,575.75/15,863.01 = 3,180.05/x
  3. Step 3: Cross multiply
    10,575.75x = 15,863.01 × 3,180.05
  4. Step 4: Simplify right side
    10,575.75x = 50,445,085.64
  5. Step 5: Solve for x
    x = 50,445,085.64/10,575.75
  6. Step 6: Final answer
    x = 4,769.88

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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.