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Finding the Fourth Proportional to 8,022.54, 12,031.74 and 2,399.10

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Solution

The fourth proportional to 8,022.54, 12,031.74 and 2,399.10 is: 3,598.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,022.54 : 12,031.74 = 2,399.10 : x
  2. Step 2: Convert to fraction form
    8,022.54/12,031.74 = 2,399.10/x
  3. Step 3: Cross multiply
    8,022.54x = 12,031.74 × 2,399.10
  4. Step 4: Simplify right side
    8,022.54x = 28,865,347.43
  5. Step 5: Solve for x
    x = 28,865,347.43/8,022.54
  6. Step 6: Final answer
    x = 3,598.03

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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.