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Finding the Fourth Proportional to 11,640.86, 16,064.75 and 6,605.30

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Solution

The fourth proportional to 11,640.86, 16,064.75 and 6,605.30 is: 9,115.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,640.86 : 16,064.75 = 6,605.30 : x
  2. Step 2: Convert to fraction form
    11,640.86/16,064.75 = 6,605.30/x
  3. Step 3: Cross multiply
    11,640.86x = 16,064.75 × 6,605.30
  4. Step 4: Simplify right side
    11,640.86x = 106,112,379.82
  5. Step 5: Solve for x
    x = 106,112,379.82/11,640.86
  6. Step 6: Final answer
    x = 9,115.51

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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.