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Finding the Fourth Proportional to 8,277.40, 12,416.24 and 2,037.43

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Solution

The fourth proportional to 8,277.40, 12,416.24 and 2,037.43 is: 3,056.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,277.40 : 12,416.24 = 2,037.43 : x
  2. Step 2: Convert to fraction form
    8,277.40/12,416.24 = 2,037.43/x
  3. Step 3: Cross multiply
    8,277.40x = 12,416.24 × 2,037.43
  4. Step 4: Simplify right side
    8,277.40x = 25,297,209.68
  5. Step 5: Solve for x
    x = 25,297,209.68/8,277.40
  6. Step 6: Final answer
    x = 3,056.18

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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.