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Finding the Fourth Proportional to 26,511.85, 39,768.05 and 7,792.22

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Solution

The fourth proportional to 26,511.85, 39,768.05 and 7,792.22 is: 11,688.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,511.85 : 39,768.05 = 7,792.22 : x
  2. Step 2: Convert to fraction form
    26,511.85/39,768.05 = 7,792.22/x
  3. Step 3: Cross multiply
    26,511.85x = 39,768.05 × 7,792.22
  4. Step 4: Simplify right side
    26,511.85x = 309,881,394.57
  5. Step 5: Solve for x
    x = 309,881,394.57/26,511.85
  6. Step 6: Final answer
    x = 11,688.41

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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.