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Finding the Fourth Proportional to 8,036.40, 12,054.48 and 2,193

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Solution

The fourth proportional to 8,036.40, 12,054.48 and 2,193 is: 3,289.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,036.40 : 12,054.48 = 2,193 : x
  2. Step 2: Convert to fraction form
    8,036.40/12,054.48 = 2,193/x
  3. Step 3: Cross multiply
    8,036.40x = 12,054.48 × 2,193
  4. Step 4: Simplify right side
    8,036.40x = 26,435,474.64
  5. Step 5: Solve for x
    x = 26,435,474.64/8,036.40
  6. Step 6: Final answer
    x = 3,289.47

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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.