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Finding the Fourth Proportional to 10,782.12, 16,166.28 and 5,157.48

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Solution

The fourth proportional to 10,782.12, 16,166.28 and 5,157.48 is: 7,732.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,782.12 : 16,166.28 = 5,157.48 : x
  2. Step 2: Convert to fraction form
    10,782.12/16,166.28 = 5,157.48/x
  3. Step 3: Cross multiply
    10,782.12x = 16,166.28 × 5,157.48
  4. Step 4: Simplify right side
    10,782.12x = 83,377,265.77
  5. Step 5: Solve for x
    x = 83,377,265.77/10,782.12
  6. Step 6: Final answer
    x = 7,732.92

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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.