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Finding the Fourth Proportional to 8,037.50, 11,091.38 and 4,500.63

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Solution

The fourth proportional to 8,037.50, 11,091.38 and 4,500.63 is: 6,210.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,037.50 : 11,091.38 = 4,500.63 : x
  2. Step 2: Convert to fraction form
    8,037.50/11,091.38 = 4,500.63/x
  3. Step 3: Cross multiply
    8,037.50x = 11,091.38 × 4,500.63
  4. Step 4: Simplify right side
    8,037.50x = 49,918,175.07
  5. Step 5: Solve for x
    x = 49,918,175.07/8,037.50
  6. Step 6: Final answer
    x = 6,210.66

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Why These Related Problems?

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