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Finding the Fourth Proportional to 10,894.20, 16,337.10 and 4,650.24

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Solution

The fourth proportional to 10,894.20, 16,337.10 and 4,650.24 is: 6,973.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,894.20 : 16,337.10 = 4,650.24 : x
  2. Step 2: Convert to fraction form
    10,894.20/16,337.10 = 4,650.24/x
  3. Step 3: Cross multiply
    10,894.20x = 16,337.10 × 4,650.24
  4. Step 4: Simplify right side
    10,894.20x = 75,971,435.90
  5. Step 5: Solve for x
    x = 75,971,435.90/10,894.20
  6. Step 6: Final answer
    x = 6,973.57

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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.