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Finding the Fourth Proportional to 8,008.44, 12,011.80 and 2,165.64

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Solution

The fourth proportional to 8,008.44, 12,011.80 and 2,165.64 is: 3,248.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,008.44 : 12,011.80 = 2,165.64 : x
  2. Step 2: Convert to fraction form
    8,008.44/12,011.80 = 2,165.64/x
  3. Step 3: Cross multiply
    8,008.44x = 12,011.80 × 2,165.64
  4. Step 4: Simplify right side
    8,008.44x = 26,013,234.55
  5. Step 5: Solve for x
    x = 26,013,234.55/8,008.44
  6. Step 6: Final answer
    x = 3,248.23

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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.