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Finding the Fourth Proportional to 11,600.93, 17,401.08 and 8,039.57

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Solution

The fourth proportional to 11,600.93, 17,401.08 and 8,039.57 is: 12,059.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,600.93 : 17,401.08 = 8,039.57 : x
  2. Step 2: Convert to fraction form
    11,600.93/17,401.08 = 8,039.57/x
  3. Step 3: Cross multiply
    11,600.93x = 17,401.08 × 8,039.57
  4. Step 4: Simplify right side
    11,600.93x = 139,897,113.73
  5. Step 5: Solve for x
    x = 139,897,113.73/11,600.93
  6. Step 6: Final answer
    x = 12,059.13

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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.