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Finding the Fourth Proportional to 11,475.78, 17,213.70 and 3,155.46

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Solution

The fourth proportional to 11,475.78, 17,213.70 and 3,155.46 is: 4,733.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,475.78 : 17,213.70 = 3,155.46 : x
  2. Step 2: Convert to fraction form
    11,475.78/17,213.70 = 3,155.46/x
  3. Step 3: Cross multiply
    11,475.78x = 17,213.70 × 3,155.46
  4. Step 4: Simplify right side
    11,475.78x = 54,317,141.80
  5. Step 5: Solve for x
    x = 54,317,141.80/11,475.78
  6. Step 6: Final answer
    x = 4,733.20

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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.