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Finding the Fourth Proportional to 7,862.00, 11,792.97 and 2,018.59

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Solution

The fourth proportional to 7,862.00, 11,792.97 and 2,018.59 is: 3,027.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,862.00 : 11,792.97 = 2,018.59 : x
  2. Step 2: Convert to fraction form
    7,862.00/11,792.97 = 2,018.59/x
  3. Step 3: Cross multiply
    7,862.00x = 11,792.97 × 2,018.59
  4. Step 4: Simplify right side
    7,862.00x = 23,805,141.83
  5. Step 5: Solve for x
    x = 23,805,141.83/7,862.00
  6. Step 6: Final answer
    x = 3,027.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.