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Finding the Fourth Proportional to 11,767.35, 17,649.32 and 3,870.17

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Solution

The fourth proportional to 11,767.35, 17,649.32 and 3,870.17 is: 5,804.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,767.35 : 17,649.32 = 3,870.17 : x
  2. Step 2: Convert to fraction form
    11,767.35/17,649.32 = 3,870.17/x
  3. Step 3: Cross multiply
    11,767.35x = 17,649.32 × 3,870.17
  4. Step 4: Simplify right side
    11,767.35x = 68,305,761.19
  5. Step 5: Solve for x
    x = 68,305,761.19/11,767.35
  6. Step 6: Final answer
    x = 5,804.69

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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.