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Finding the Fourth Proportional to 11,669.34, 17,504.02 and 3,878.16

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Solution

The fourth proportional to 11,669.34, 17,504.02 and 3,878.16 is: 5,817.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,669.34 : 17,504.02 = 3,878.16 : x
  2. Step 2: Convert to fraction form
    11,669.34/17,504.02 = 3,878.16/x
  3. Step 3: Cross multiply
    11,669.34x = 17,504.02 × 3,878.16
  4. Step 4: Simplify right side
    11,669.34x = 67,883,329.41
  5. Step 5: Solve for x
    x = 67,883,329.41/11,669.34
  6. Step 6: Final answer
    x = 5,817.24

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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.