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Finding the Fourth Proportional to 11,348.82, 17,012.84 and 4,775.46

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Solution

The fourth proportional to 11,348.82, 17,012.84 and 4,775.46 is: 7,158.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,348.82 : 17,012.84 = 4,775.46 : x
  2. Step 2: Convert to fraction form
    11,348.82/17,012.84 = 4,775.46/x
  3. Step 3: Cross multiply
    11,348.82x = 17,012.84 × 4,775.46
  4. Step 4: Simplify right side
    11,348.82x = 81,244,136.91
  5. Step 5: Solve for x
    x = 81,244,136.91/11,348.82
  6. Step 6: Final answer
    x = 7,158.82

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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.