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Finding the Fourth Proportional to 8,015.33, 12,023.67 and 2,093.00

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Solution

The fourth proportional to 8,015.33, 12,023.67 and 2,093.00 is: 3,139.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,015.33 : 12,023.67 = 2,093.00 : x
  2. Step 2: Convert to fraction form
    8,015.33/12,023.67 = 2,093.00/x
  3. Step 3: Cross multiply
    8,015.33x = 12,023.67 × 2,093.00
  4. Step 4: Simplify right side
    8,015.33x = 25,165,526.28
  5. Step 5: Solve for x
    x = 25,165,526.28/8,015.33
  6. Step 6: Final answer
    x = 3,139.68

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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.