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Finding the Fourth Proportional to 13,013.94, 17,959.12 and 7,711.27

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Solution

The fourth proportional to 13,013.94, 17,959.12 and 7,711.27 is: 10,641.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,013.94 : 17,959.12 = 7,711.27 : x
  2. Step 2: Convert to fraction form
    13,013.94/17,959.12 = 7,711.27/x
  3. Step 3: Cross multiply
    13,013.94x = 17,959.12 × 7,711.27
  4. Step 4: Simplify right side
    13,013.94x = 138,487,623.28
  5. Step 5: Solve for x
    x = 138,487,623.28/13,013.94
  6. Step 6: Final answer
    x = 10,641.48

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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.