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Finding the Fourth Proportional to 8,023.68, 12,034.08 and 2,828.64

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Solution

The fourth proportional to 8,023.68, 12,034.08 and 2,828.64 is: 4,242.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,023.68 : 12,034.08 = 2,828.64 : x
  2. Step 2: Convert to fraction form
    8,023.68/12,034.08 = 2,828.64/x
  3. Step 3: Cross multiply
    8,023.68x = 12,034.08 × 2,828.64
  4. Step 4: Simplify right side
    8,023.68x = 34,040,080.05
  5. Step 5: Solve for x
    x = 34,040,080.05/8,023.68
  6. Step 6: Final answer
    x = 4,242.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.