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Finding the Fourth Proportional to 8,033.40, 12,056.31 and 5,259.42

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Solution

The fourth proportional to 8,033.40, 12,056.31 and 5,259.42 is: 7,893.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,033.40 : 12,056.31 = 5,259.42 : x
  2. Step 2: Convert to fraction form
    8,033.40/12,056.31 = 5,259.42/x
  3. Step 3: Cross multiply
    8,033.40x = 12,056.31 × 5,259.42
  4. Step 4: Simplify right side
    8,033.40x = 63,409,197.94
  5. Step 5: Solve for x
    x = 63,409,197.94/8,033.40
  6. Step 6: Final answer
    x = 7,893.20

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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.