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Finding the Fourth Proportional to 11,866.14, 17,802.78 and 3,546.43

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Solution

The fourth proportional to 11,866.14, 17,802.78 and 3,546.43 is: 5,320.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,866.14 : 17,802.78 = 3,546.43 : x
  2. Step 2: Convert to fraction form
    11,866.14/17,802.78 = 3,546.43/x
  3. Step 3: Cross multiply
    11,866.14x = 17,802.78 × 3,546.43
  4. Step 4: Simplify right side
    11,866.14x = 63,136,215.20
  5. Step 5: Solve for x
    x = 63,136,215.20/11,866.14
  6. Step 6: Final answer
    x = 5,320.70

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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.