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Finding the Fourth Proportional to 7,862.21, 11,792.00 and 2,239.49

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Solution

The fourth proportional to 7,862.21, 11,792.00 and 2,239.49 is: 3,358.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,862.21 : 11,792.00 = 2,239.49 : x
  2. Step 2: Convert to fraction form
    7,862.21/11,792.00 = 2,239.49/x
  3. Step 3: Cross multiply
    7,862.21x = 11,792.00 × 2,239.49
  4. Step 4: Simplify right side
    7,862.21x = 26,408,018.03
  5. Step 5: Solve for x
    x = 26,408,018.03/7,862.21
  6. Step 6: Final answer
    x = 3,358.85

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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.