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Finding the Fourth Proportional to 8,009.72, 12,011.20 and 2,814.40

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Solution

The fourth proportional to 8,009.72, 12,011.20 and 2,814.40 is: 4,220.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,009.72 : 12,011.20 = 2,814.40 : x
  2. Step 2: Convert to fraction form
    8,009.72/12,011.20 = 2,814.40/x
  3. Step 3: Cross multiply
    8,009.72x = 12,011.20 × 2,814.40
  4. Step 4: Simplify right side
    8,009.72x = 33,804,321.28
  5. Step 5: Solve for x
    x = 33,804,321.28/8,009.72
  6. Step 6: Final answer
    x = 4,220.41

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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.