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Finding the Fourth Proportional to 10,933.49, 16,400.30 and 6,000.44

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Solution

The fourth proportional to 10,933.49, 16,400.30 and 6,000.44 is: 9,000.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,933.49 : 16,400.30 = 6,000.44 : x
  2. Step 2: Convert to fraction form
    10,933.49/16,400.30 = 6,000.44/x
  3. Step 3: Cross multiply
    10,933.49x = 16,400.30 × 6,000.44
  4. Step 4: Simplify right side
    10,933.49x = 98,408,904.13
  5. Step 5: Solve for x
    x = 98,408,904.13/10,933.49
  6. Step 6: Final answer
    x = 9,000.68

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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.