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Finding the Fourth Proportional to 11,610.16, 17,406.49 and 5,685.21

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Solution

The fourth proportional to 11,610.16, 17,406.49 and 5,685.21 is: 8,523.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,610.16 : 17,406.49 = 5,685.21 : x
  2. Step 2: Convert to fraction form
    11,610.16/17,406.49 = 5,685.21/x
  3. Step 3: Cross multiply
    11,610.16x = 17,406.49 × 5,685.21
  4. Step 4: Simplify right side
    11,610.16x = 98,959,551.01
  5. Step 5: Solve for x
    x = 98,959,551.01/11,610.16
  6. Step 6: Final answer
    x = 8,523.53

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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.