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Finding the Fourth Proportional to 10,227, 14,100.12 and 7,569.84

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Solution

The fourth proportional to 10,227, 14,100.12 and 7,569.84 is: 10,436.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,227 : 14,100.12 = 7,569.84 : x
  2. Step 2: Convert to fraction form
    10,227/14,100.12 = 7,569.84/x
  3. Step 3: Cross multiply
    10,227x = 14,100.12 × 7,569.84
  4. Step 4: Simplify right side
    10,227x = 106,735,652.38
  5. Step 5: Solve for x
    x = 106,735,652.38/10,227
  6. Step 6: Final answer
    x = 10,436.65

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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.