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Finding the Fourth Proportional to 11,985.71, 17,972.34 and 3,664.04

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Solution

The fourth proportional to 11,985.71, 17,972.34 and 3,664.04 is: 5,494.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,985.71 : 17,972.34 = 3,664.04 : x
  2. Step 2: Convert to fraction form
    11,985.71/17,972.34 = 3,664.04/x
  3. Step 3: Cross multiply
    11,985.71x = 17,972.34 × 3,664.04
  4. Step 4: Simplify right side
    11,985.71x = 65,851,372.65
  5. Step 5: Solve for x
    x = 65,851,372.65/11,985.71
  6. Step 6: Final answer
    x = 5,494.16

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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.