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Finding the Fourth Proportional to 11,035.64, 16,561.78 and 5,842.68

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Solution

The fourth proportional to 11,035.64, 16,561.78 and 5,842.68 is: 8,768.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,035.64 : 16,561.78 = 5,842.68 : x
  2. Step 2: Convert to fraction form
    11,035.64/16,561.78 = 5,842.68/x
  3. Step 3: Cross multiply
    11,035.64x = 16,561.78 × 5,842.68
  4. Step 4: Simplify right side
    11,035.64x = 96,765,180.77
  5. Step 5: Solve for x
    x = 96,765,180.77/11,035.64
  6. Step 6: Final answer
    x = 8,768.42

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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.