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Finding the Fourth Proportional to 11,745.20, 17,617.80 and 5,913.20

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Solution

The fourth proportional to 11,745.20, 17,617.80 and 5,913.20 is: 8,869.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,745.20 : 17,617.80 = 5,913.20 : x
  2. Step 2: Convert to fraction form
    11,745.20/17,617.80 = 5,913.20/x
  3. Step 3: Cross multiply
    11,745.20x = 17,617.80 × 5,913.20
  4. Step 4: Simplify right side
    11,745.20x = 104,177,574.96
  5. Step 5: Solve for x
    x = 104,177,574.96/11,745.20
  6. Step 6: Final answer
    x = 8,869.80

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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.