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Finding the Fourth Proportional to 8,097.80, 11,175.65 and 4,561.69

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Solution

The fourth proportional to 8,097.80, 11,175.65 and 4,561.69 is: 6,295.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,097.80 : 11,175.65 = 4,561.69 : x
  2. Step 2: Convert to fraction form
    8,097.80/11,175.65 = 4,561.69/x
  3. Step 3: Cross multiply
    8,097.80x = 11,175.65 × 4,561.69
  4. Step 4: Simplify right side
    8,097.80x = 50,979,856.76
  5. Step 5: Solve for x
    x = 50,979,856.76/8,097.80
  6. Step 6: Final answer
    x = 6,295.52

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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.