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Finding the Fourth Proportional to 11,938.80, 16,472.94 and 7,222.98

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Solution

The fourth proportional to 11,938.80, 16,472.94 and 7,222.98 is: 9,966.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,938.80 : 16,472.94 = 7,222.98 : x
  2. Step 2: Convert to fraction form
    11,938.80/16,472.94 = 7,222.98/x
  3. Step 3: Cross multiply
    11,938.80x = 16,472.94 × 7,222.98
  4. Step 4: Simplify right side
    11,938.80x = 118,983,716.16
  5. Step 5: Solve for x
    x = 118,983,716.16/11,938.80
  6. Step 6: Final answer
    x = 9,966.14

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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.