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Finding the Fourth Proportional to 10,704.99, 16,062.07 and 4,135.78

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Solution

The fourth proportional to 10,704.99, 16,062.07 and 4,135.78 is: 6,205.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,704.99 : 16,062.07 = 4,135.78 : x
  2. Step 2: Convert to fraction form
    10,704.99/16,062.07 = 4,135.78/x
  3. Step 3: Cross multiply
    10,704.99x = 16,062.07 × 4,135.78
  4. Step 4: Simplify right side
    10,704.99x = 66,429,262.16
  5. Step 5: Solve for x
    x = 66,429,262.16/10,704.99
  6. Step 6: Final answer
    x = 6,205.45

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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.