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Finding the Fourth Proportional to 10,033.74, 15,052.05 and 3,106.62

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Solution

The fourth proportional to 10,033.74, 15,052.05 and 3,106.62 is: 4,660.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,033.74 : 15,052.05 = 3,106.62 : x
  2. Step 2: Convert to fraction form
    10,033.74/15,052.05 = 3,106.62/x
  3. Step 3: Cross multiply
    10,033.74x = 15,052.05 × 3,106.62
  4. Step 4: Simplify right side
    10,033.74x = 46,760,999.57
  5. Step 5: Solve for x
    x = 46,760,999.57/10,033.74
  6. Step 6: Final answer
    x = 4,660.38

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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.