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Finding the Fourth Proportional to 13,013.56, 17,960.34 and 7,710.40

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Solution

The fourth proportional to 13,013.56, 17,960.34 and 7,710.40 is: 10,641.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,013.56 : 17,960.34 = 7,710.40 : x
  2. Step 2: Convert to fraction form
    13,013.56/17,960.34 = 7,710.40/x
  3. Step 3: Cross multiply
    13,013.56x = 17,960.34 × 7,710.40
  4. Step 4: Simplify right side
    13,013.56x = 138,481,405.54
  5. Step 5: Solve for x
    x = 138,481,405.54/13,013.56
  6. Step 6: Final answer
    x = 10,641.32

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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.