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Finding the Fourth Proportional to 10,231.80, 15,315.30 and 8,028.60

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Solution

The fourth proportional to 10,231.80, 15,315.30 and 8,028.60 is: 12,017.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,231.80 : 15,315.30 = 8,028.60 : x
  2. Step 2: Convert to fraction form
    10,231.80/15,315.30 = 8,028.60/x
  3. Step 3: Cross multiply
    10,231.80x = 15,315.30 × 8,028.60
  4. Step 4: Simplify right side
    10,231.80x = 122,960,417.58
  5. Step 5: Solve for x
    x = 122,960,417.58/10,231.80
  6. Step 6: Final answer
    x = 12,017.48

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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.