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Finding the Fourth Proportional to 8,009.32, 12,012.90 and 2,165.98

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Solution

The fourth proportional to 8,009.32, 12,012.90 and 2,165.98 is: 3,248.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,009.32 : 12,012.90 = 2,165.98 : x
  2. Step 2: Convert to fraction form
    8,009.32/12,012.90 = 2,165.98/x
  3. Step 3: Cross multiply
    8,009.32x = 12,012.90 × 2,165.98
  4. Step 4: Simplify right side
    8,009.32x = 26,019,701.14
  5. Step 5: Solve for x
    x = 26,019,701.14/8,009.32
  6. Step 6: Final answer
    x = 3,248.68

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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.