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Finding the Fourth Proportional to 6,960.66, 10,438.90 and 3,671.96

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Solution

The fourth proportional to 6,960.66, 10,438.90 and 3,671.96 is: 5,506.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,960.66 : 10,438.90 = 3,671.96 : x
  2. Step 2: Convert to fraction form
    6,960.66/10,438.90 = 3,671.96/x
  3. Step 3: Cross multiply
    6,960.66x = 10,438.90 × 3,671.96
  4. Step 4: Simplify right side
    6,960.66x = 38,331,223.24
  5. Step 5: Solve for x
    x = 38,331,223.24/6,960.66
  6. Step 6: Final answer
    x = 5,506.84

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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.