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Finding the Fourth Proportional to 10,783.48, 16,175.08 and 2,992

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Solution

The fourth proportional to 10,783.48, 16,175.08 and 2,992 is: 4,487.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,783.48 : 16,175.08 = 2,992 : x
  2. Step 2: Convert to fraction form
    10,783.48/16,175.08 = 2,992/x
  3. Step 3: Cross multiply
    10,783.48x = 16,175.08 × 2,992
  4. Step 4: Simplify right side
    10,783.48x = 48,395,839.36
  5. Step 5: Solve for x
    x = 48,395,839.36/10,783.48
  6. Step 6: Final answer
    x = 4,487.96

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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.