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Finding the Fourth Proportional to 7,862.34, 11,793.62 and 2,018.82

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Solution

The fourth proportional to 7,862.34, 11,793.62 and 2,018.82 is: 3,028.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,862.34 : 11,793.62 = 2,018.82 : x
  2. Step 2: Convert to fraction form
    7,862.34/11,793.62 = 2,018.82/x
  3. Step 3: Cross multiply
    7,862.34x = 11,793.62 × 2,018.82
  4. Step 4: Simplify right side
    7,862.34x = 23,809,160.53
  5. Step 5: Solve for x
    x = 23,809,160.53/7,862.34
  6. Step 6: Final answer
    x = 3,028.26

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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.