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Finding the Fourth Proportional to 8,036, 12,046.56 and 3,105.44

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Solution

The fourth proportional to 8,036, 12,046.56 and 3,105.44 is: 4,655.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,036 : 12,046.56 = 3,105.44 : x
  2. Step 2: Convert to fraction form
    8,036/12,046.56 = 3,105.44/x
  3. Step 3: Cross multiply
    8,036x = 12,046.56 × 3,105.44
  4. Step 4: Simplify right side
    8,036x = 37,409,869.29
  5. Step 5: Solve for x
    x = 37,409,869.29/8,036
  6. Step 6: Final answer
    x = 4,655.28

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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.