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Finding the Fourth Proportional to 6,900.26, 10,341.71 and 3,737.57

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Solution

The fourth proportional to 6,900.26, 10,341.71 and 3,737.57 is: 5,601.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,900.26 : 10,341.71 = 3,737.57 : x
  2. Step 2: Convert to fraction form
    6,900.26/10,341.71 = 3,737.57/x
  3. Step 3: Cross multiply
    6,900.26x = 10,341.71 × 3,737.57
  4. Step 4: Simplify right side
    6,900.26x = 38,652,872.21
  5. Step 5: Solve for x
    x = 38,652,872.21/6,900.26
  6. Step 6: Final answer
    x = 5,601.66

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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.