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Finding the Fourth Proportional to 11,662.13, 16,090.88 and 7,123.66

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Solution

The fourth proportional to 11,662.13, 16,090.88 and 7,123.66 is: 9,828.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,662.13 : 16,090.88 = 7,123.66 : x
  2. Step 2: Convert to fraction form
    11,662.13/16,090.88 = 7,123.66/x
  3. Step 3: Cross multiply
    11,662.13x = 16,090.88 × 7,123.66
  4. Step 4: Simplify right side
    11,662.13x = 114,625,882.38
  5. Step 5: Solve for x
    x = 114,625,882.38/11,662.13
  6. Step 6: Final answer
    x = 9,828.90

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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.