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Finding the Fourth Proportional to 7,737.53, 10,683.18 and 6,834.38

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Solution

The fourth proportional to 7,737.53, 10,683.18 and 6,834.38 is: 9,436.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,737.53 : 10,683.18 = 6,834.38 : x
  2. Step 2: Convert to fraction form
    7,737.53/10,683.18 = 6,834.38/x
  3. Step 3: Cross multiply
    7,737.53x = 10,683.18 × 6,834.38
  4. Step 4: Simplify right side
    7,737.53x = 73,012,858.31
  5. Step 5: Solve for x
    x = 73,012,858.31/7,737.53
  6. Step 6: Final answer
    x = 9,436.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.