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Finding the Fourth Proportional to 6,883.34, 10,324.83 and 1,689.08

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Solution

The fourth proportional to 6,883.34, 10,324.83 and 1,689.08 is: 2,533.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,883.34 : 10,324.83 = 1,689.08 : x
  2. Step 2: Convert to fraction form
    6,883.34/10,324.83 = 1,689.08/x
  3. Step 3: Cross multiply
    6,883.34x = 10,324.83 × 1,689.08
  4. Step 4: Simplify right side
    6,883.34x = 17,439,463.86
  5. Step 5: Solve for x
    x = 17,439,463.86/6,883.34
  6. Step 6: Final answer
    x = 2,533.58

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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.