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Finding the Fourth Proportional to 10,737.24, 16,113.96 and 5,193.96

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Solution

The fourth proportional to 10,737.24, 16,113.96 and 5,193.96 is: 7,794.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,737.24 : 16,113.96 = 5,193.96 : x
  2. Step 2: Convert to fraction form
    10,737.24/16,113.96 = 5,193.96/x
  3. Step 3: Cross multiply
    10,737.24x = 16,113.96 × 5,193.96
  4. Step 4: Simplify right side
    10,737.24x = 83,695,263.68
  5. Step 5: Solve for x
    x = 83,695,263.68/10,737.24
  6. Step 6: Final answer
    x = 7,794.86

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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.