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Finding the Fourth Proportional to 8,037.90, 12,056.73 and 2,194.50

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Solution

The fourth proportional to 8,037.90, 12,056.73 and 2,194.50 is: 3,291.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,037.90 : 12,056.73 = 2,194.50 : x
  2. Step 2: Convert to fraction form
    8,037.90/12,056.73 = 2,194.50/x
  3. Step 3: Cross multiply
    8,037.90x = 12,056.73 × 2,194.50
  4. Step 4: Simplify right side
    8,037.90x = 26,458,493.99
  5. Step 5: Solve for x
    x = 26,458,493.99/8,037.90
  6. Step 6: Final answer
    x = 3,291.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.