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Finding the Fourth Proportional to 11,671.36, 17,509.68 and 3,880.48

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Solution

The fourth proportional to 11,671.36, 17,509.68 and 3,880.48 is: 5,821.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,671.36 : 17,509.68 = 3,880.48 : x
  2. Step 2: Convert to fraction form
    11,671.36/17,509.68 = 3,880.48/x
  3. Step 3: Cross multiply
    11,671.36x = 17,509.68 × 3,880.48
  4. Step 4: Simplify right side
    11,671.36x = 67,945,963.05
  5. Step 5: Solve for x
    x = 67,945,963.05/11,671.36
  6. Step 6: Final answer
    x = 5,821.60

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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.