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Finding the Fourth Proportional to 8,019.84, 12,031.83 and 2,473.06

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Solution

The fourth proportional to 8,019.84, 12,031.83 and 2,473.06 is: 3,710.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,019.84 : 12,031.83 = 2,473.06 : x
  2. Step 2: Convert to fraction form
    8,019.84/12,031.83 = 2,473.06/x
  3. Step 3: Cross multiply
    8,019.84x = 12,031.83 × 2,473.06
  4. Step 4: Simplify right side
    8,019.84x = 29,755,407.42
  5. Step 5: Solve for x
    x = 29,755,407.42/8,019.84
  6. Step 6: Final answer
    x = 3,710.23

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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.