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Finding the Fourth Proportional to 10,705.70, 16,083.18 and 7,593.41

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Solution

The fourth proportional to 10,705.70, 16,083.18 and 7,593.41 is: 11,407.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,705.70 : 16,083.18 = 7,593.41 : x
  2. Step 2: Convert to fraction form
    10,705.70/16,083.18 = 7,593.41/x
  3. Step 3: Cross multiply
    10,705.70x = 16,083.18 × 7,593.41
  4. Step 4: Simplify right side
    10,705.70x = 122,126,099.43
  5. Step 5: Solve for x
    x = 122,126,099.43/10,705.70
  6. Step 6: Final answer
    x = 11,407.58

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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.