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Finding the Fourth Proportional to 13,082.31, 18,053.82 and 7,113.96

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Solution

The fourth proportional to 13,082.31, 18,053.82 and 7,113.96 is: 9,817.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,082.31 : 18,053.82 = 7,113.96 : x
  2. Step 2: Convert to fraction form
    13,082.31/18,053.82 = 7,113.96/x
  3. Step 3: Cross multiply
    13,082.31x = 18,053.82 × 7,113.96
  4. Step 4: Simplify right side
    13,082.31x = 128,434,153.33
  5. Step 5: Solve for x
    x = 128,434,153.33/13,082.31
  6. Step 6: Final answer
    x = 9,817.39

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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.