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Finding the Fourth Proportional to 8,009.98, 12,013.60 and 2,165.22

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Solution

The fourth proportional to 8,009.98, 12,013.60 and 2,165.22 is: 3,247.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,009.98 : 12,013.60 = 2,165.22 : x
  2. Step 2: Convert to fraction form
    8,009.98/12,013.60 = 2,165.22/x
  3. Step 3: Cross multiply
    8,009.98x = 12,013.60 × 2,165.22
  4. Step 4: Simplify right side
    8,009.98x = 26,012,086.99
  5. Step 5: Solve for x
    x = 26,012,086.99/8,009.98
  6. Step 6: Final answer
    x = 3,247.46

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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.