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Finding the Fourth Proportional to 6,817.66, 10,226.50 and 1,887.31

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Solution

The fourth proportional to 6,817.66, 10,226.50 and 1,887.31 is: 2,830.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,817.66 : 10,226.50 = 1,887.31 : x
  2. Step 2: Convert to fraction form
    6,817.66/10,226.50 = 1,887.31/x
  3. Step 3: Cross multiply
    6,817.66x = 10,226.50 × 1,887.31
  4. Step 4: Simplify right side
    6,817.66x = 19,300,564.61
  5. Step 5: Solve for x
    x = 19,300,564.61/6,817.66
  6. Step 6: Final answer
    x = 2,830.97

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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.