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Finding the Fourth Proportional to 11,533.57, 17,305.82 and 6,862.81

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Solution

The fourth proportional to 11,533.57, 17,305.82 and 6,862.81 is: 10,297.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,533.57 : 17,305.82 = 6,862.81 : x
  2. Step 2: Convert to fraction form
    11,533.57/17,305.82 = 6,862.81/x
  3. Step 3: Cross multiply
    11,533.57x = 17,305.82 × 6,862.81
  4. Step 4: Simplify right side
    11,533.57x = 118,766,520.24
  5. Step 5: Solve for x
    x = 118,766,520.24/11,533.57
  6. Step 6: Final answer
    x = 10,297.46

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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.