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Finding the Fourth Proportional to 7,331.87, 10,997.64 and 1,785.24

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Solution

The fourth proportional to 7,331.87, 10,997.64 and 1,785.24 is: 2,677.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,331.87 : 10,997.64 = 1,785.24 : x
  2. Step 2: Convert to fraction form
    7,331.87/10,997.64 = 1,785.24/x
  3. Step 3: Cross multiply
    7,331.87x = 10,997.64 × 1,785.24
  4. Step 4: Simplify right side
    7,331.87x = 19,633,426.83
  5. Step 5: Solve for x
    x = 19,633,426.83/7,331.87
  6. Step 6: Final answer
    x = 2,677.82

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