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Finding the Fourth Proportional to 10,839.57, 14,957.91 and 6,123.75

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Solution

The fourth proportional to 10,839.57, 14,957.91 and 6,123.75 is: 8,450.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,839.57 : 14,957.91 = 6,123.75 : x
  2. Step 2: Convert to fraction form
    10,839.57/14,957.91 = 6,123.75/x
  3. Step 3: Cross multiply
    10,839.57x = 14,957.91 × 6,123.75
  4. Step 4: Simplify right side
    10,839.57x = 91,598,501.36
  5. Step 5: Solve for x
    x = 91,598,501.36/10,839.57
  6. Step 6: Final answer
    x = 8,450.38

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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.