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Finding the Fourth Proportional to 7,838.48, 10,817.09 and 4,481.37

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Solution

The fourth proportional to 7,838.48, 10,817.09 and 4,481.37 is: 6,184.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,838.48 : 10,817.09 = 4,481.37 : x
  2. Step 2: Convert to fraction form
    7,838.48/10,817.09 = 4,481.37/x
  3. Step 3: Cross multiply
    7,838.48x = 10,817.09 × 4,481.37
  4. Step 4: Simplify right side
    7,838.48x = 48,475,328.53
  5. Step 5: Solve for x
    x = 48,475,328.53/7,838.48
  6. Step 6: Final answer
    x = 6,184.28

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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.