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Finding the Fourth Proportional to 7,960.88, 10,989.57 and 5,836.42

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Solution

The fourth proportional to 7,960.88, 10,989.57 and 5,836.42 is: 8,056.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,960.88 : 10,989.57 = 5,836.42 : x
  2. Step 2: Convert to fraction form
    7,960.88/10,989.57 = 5,836.42/x
  3. Step 3: Cross multiply
    7,960.88x = 10,989.57 × 5,836.42
  4. Step 4: Simplify right side
    7,960.88x = 64,139,746.14
  5. Step 5: Solve for x
    x = 64,139,746.14/7,960.88
  6. Step 6: Final answer
    x = 8,056.87

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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.