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Finding the Fourth Proportional to 11,059.40, 16,593.96 and 5,864

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Solution

The fourth proportional to 11,059.40, 16,593.96 and 5,864 is: 8,798.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,059.40 : 16,593.96 = 5,864 : x
  2. Step 2: Convert to fraction form
    11,059.40/16,593.96 = 5,864/x
  3. Step 3: Cross multiply
    11,059.40x = 16,593.96 × 5,864
  4. Step 4: Simplify right side
    11,059.40x = 97,306,981.44
  5. Step 5: Solve for x
    x = 97,306,981.44/11,059.40
  6. Step 6: Final answer
    x = 8,798.58

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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.