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Finding the Fourth Proportional to 8,037.60, 11,091.28 and 4,500

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Solution

The fourth proportional to 8,037.60, 11,091.28 and 4,500 is: 6,209.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,037.60 : 11,091.28 = 4,500 : x
  2. Step 2: Convert to fraction form
    8,037.60/11,091.28 = 4,500/x
  3. Step 3: Cross multiply
    8,037.60x = 11,091.28 × 4,500
  4. Step 4: Simplify right side
    8,037.60x = 49,910,760
  5. Step 5: Solve for x
    x = 49,910,760/8,037.60
  6. Step 6: Final answer
    x = 6,209.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.