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Finding the Fourth Proportional to 10,463.74, 14,439.94 and 5,683.66

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Solution

The fourth proportional to 10,463.74, 14,439.94 and 5,683.66 is: 7,843.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,463.74 : 14,439.94 = 5,683.66 : x
  2. Step 2: Convert to fraction form
    10,463.74/14,439.94 = 5,683.66/x
  3. Step 3: Cross multiply
    10,463.74x = 14,439.94 × 5,683.66
  4. Step 4: Simplify right side
    10,463.74x = 82,071,709.38
  5. Step 5: Solve for x
    x = 82,071,709.38/10,463.74
  6. Step 6: Final answer
    x = 7,843.44

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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.