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Finding the Fourth Proportional to 11,344.16, 17,003.63 and 8,561.81

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Solution

The fourth proportional to 11,344.16, 17,003.63 and 8,561.81 is: 12,833.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,344.16 : 17,003.63 = 8,561.81 : x
  2. Step 2: Convert to fraction form
    11,344.16/17,003.63 = 8,561.81/x
  3. Step 3: Cross multiply
    11,344.16x = 17,003.63 × 8,561.81
  4. Step 4: Simplify right side
    11,344.16x = 145,581,913.28
  5. Step 5: Solve for x
    x = 145,581,913.28/11,344.16
  6. Step 6: Final answer
    x = 12,833.20

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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.