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Finding the Fourth Proportional to 13,013.43, 17,958.02 and 7,710.63

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Solution

The fourth proportional to 13,013.43, 17,958.02 and 7,710.63 is: 10,640.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,013.43 : 17,958.02 = 7,710.63 : x
  2. Step 2: Convert to fraction form
    13,013.43/17,958.02 = 7,710.63/x
  3. Step 3: Cross multiply
    13,013.43x = 17,958.02 × 7,710.63
  4. Step 4: Simplify right side
    13,013.43x = 138,467,609.20
  5. Step 5: Solve for x
    x = 138,467,609.20/13,013.43
  6. Step 6: Final answer
    x = 10,640.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.