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Finding the Fourth Proportional to 10,671.72, 16,007.44 and 3,744.60

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Solution

The fourth proportional to 10,671.72, 16,007.44 and 3,744.60 is: 5,616.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,671.72 : 16,007.44 = 3,744.60 : x
  2. Step 2: Convert to fraction form
    10,671.72/16,007.44 = 3,744.60/x
  3. Step 3: Cross multiply
    10,671.72x = 16,007.44 × 3,744.60
  4. Step 4: Simplify right side
    10,671.72x = 59,941,459.82
  5. Step 5: Solve for x
    x = 59,941,459.82/10,671.72
  6. Step 6: Final answer
    x = 5,616.85

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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.