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Finding the Fourth Proportional to 8,297.23, 12,443.14 and 3,031.03

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Solution

The fourth proportional to 8,297.23, 12,443.14 and 3,031.03 is: 4,545.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,297.23 : 12,443.14 = 3,031.03 : x
  2. Step 2: Convert to fraction form
    8,297.23/12,443.14 = 3,031.03/x
  3. Step 3: Cross multiply
    8,297.23x = 12,443.14 × 3,031.03
  4. Step 4: Simplify right side
    8,297.23x = 37,715,530.63
  5. Step 5: Solve for x
    x = 37,715,530.63/8,297.23
  6. Step 6: Final answer
    x = 4,545.56

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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.