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Finding the Fourth Proportional to 7,086.44, 10,558.45 and 6,689

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Solution

The fourth proportional to 7,086.44, 10,558.45 and 6,689 is: 9,966.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,086.44 : 10,558.45 = 6,689 : x
  2. Step 2: Convert to fraction form
    7,086.44/10,558.45 = 6,689/x
  3. Step 3: Cross multiply
    7,086.44x = 10,558.45 × 6,689
  4. Step 4: Simplify right side
    7,086.44x = 70,625,472.05
  5. Step 5: Solve for x
    x = 70,625,472.05/7,086.44
  6. Step 6: Final answer
    x = 9,966.28

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.