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Finding the Fourth Proportional to 8,175.66, 11,273.76 and 7,509.84

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Solution

The fourth proportional to 8,175.66, 11,273.76 and 7,509.84 is: 10,355.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,175.66 : 11,273.76 = 7,509.84 : x
  2. Step 2: Convert to fraction form
    8,175.66/11,273.76 = 7,509.84/x
  3. Step 3: Cross multiply
    8,175.66x = 11,273.76 × 7,509.84
  4. Step 4: Simplify right side
    8,175.66x = 84,664,133.80
  5. Step 5: Solve for x
    x = 84,664,133.80/8,175.66
  6. Step 6: Final answer
    x = 10,355.63

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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.