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Finding the Fourth Proportional to 10,205.02, 15,304.30 and 3,277.90

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Solution

The fourth proportional to 10,205.02, 15,304.30 and 3,277.90 is: 4,915.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,205.02 : 15,304.30 = 3,277.90 : x
  2. Step 2: Convert to fraction form
    10,205.02/15,304.30 = 3,277.90/x
  3. Step 3: Cross multiply
    10,205.02x = 15,304.30 × 3,277.90
  4. Step 4: Simplify right side
    10,205.02x = 50,165,964.97
  5. Step 5: Solve for x
    x = 50,165,964.97/10,205.02
  6. Step 6: Final answer
    x = 4,915.81

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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.