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Finding the Fourth Proportional to 11,631.57, 16,044.73 and 7,317.80

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Solution

The fourth proportional to 11,631.57, 16,044.73 and 7,317.80 is: 10,094.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,631.57 : 16,044.73 = 7,317.80 : x
  2. Step 2: Convert to fraction form
    11,631.57/16,044.73 = 7,317.80/x
  3. Step 3: Cross multiply
    11,631.57x = 16,044.73 × 7,317.80
  4. Step 4: Simplify right side
    11,631.57x = 117,412,008.38
  5. Step 5: Solve for x
    x = 117,412,008.38/11,631.57
  6. Step 6: Final answer
    x = 10,094.26

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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.