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Finding the Fourth Proportional to 10,686.76, 16,033.36 and 3,190.56

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Solution

The fourth proportional to 10,686.76, 16,033.36 and 3,190.56 is: 4,786.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,686.76 : 16,033.36 = 3,190.56 : x
  2. Step 2: Convert to fraction form
    10,686.76/16,033.36 = 3,190.56/x
  3. Step 3: Cross multiply
    10,686.76x = 16,033.36 × 3,190.56
  4. Step 4: Simplify right side
    10,686.76x = 51,155,397.08
  5. Step 5: Solve for x
    x = 51,155,397.08/10,686.76
  6. Step 6: Final answer
    x = 4,786.80

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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.