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Finding the Fourth Proportional to 11,761.24, 16,229.64 and 6,455.20

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Solution

The fourth proportional to 11,761.24, 16,229.64 and 6,455.20 is: 8,907.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,761.24 : 16,229.64 = 6,455.20 : x
  2. Step 2: Convert to fraction form
    11,761.24/16,229.64 = 6,455.20/x
  3. Step 3: Cross multiply
    11,761.24x = 16,229.64 × 6,455.20
  4. Step 4: Simplify right side
    11,761.24x = 104,765,572.13
  5. Step 5: Solve for x
    x = 104,765,572.13/11,761.24
  6. Step 6: Final answer
    x = 8,907.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.