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Finding the Fourth Proportional to 11,293.34, 15,584.39 and 6,513.49

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Solution

The fourth proportional to 11,293.34, 15,584.39 and 6,513.49 is: 8,988.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,293.34 : 15,584.39 = 6,513.49 : x
  2. Step 2: Convert to fraction form
    11,293.34/15,584.39 = 6,513.49/x
  3. Step 3: Cross multiply
    11,293.34x = 15,584.39 × 6,513.49
  4. Step 4: Simplify right side
    11,293.34x = 101,508,754.25
  5. Step 5: Solve for x
    x = 101,508,754.25/11,293.34
  6. Step 6: Final answer
    x = 8,988.37

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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.