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Finding the Fourth Proportional to 8,037.60, 12,056.40 and 3,429.60

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Solution

The fourth proportional to 8,037.60, 12,056.40 and 3,429.60 is: 5,144.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,037.60 : 12,056.40 = 3,429.60 : x
  2. Step 2: Convert to fraction form
    8,037.60/12,056.40 = 3,429.60/x
  3. Step 3: Cross multiply
    8,037.60x = 12,056.40 × 3,429.60
  4. Step 4: Simplify right side
    8,037.60x = 41,348,629.44
  5. Step 5: Solve for x
    x = 41,348,629.44/8,037.60
  6. Step 6: Final answer
    x = 5,144.40

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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.