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Finding the Fourth Proportional to 12,745.69, 17,586.38 and 7,708.92

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Solution

The fourth proportional to 12,745.69, 17,586.38 and 7,708.92 is: 10,636.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,745.69 : 17,586.38 = 7,708.92 : x
  2. Step 2: Convert to fraction form
    12,745.69/17,586.38 = 7,708.92/x
  3. Step 3: Cross multiply
    12,745.69x = 17,586.38 × 7,708.92
  4. Step 4: Simplify right side
    12,745.69x = 135,572,048.76
  5. Step 5: Solve for x
    x = 135,572,048.76/12,745.69
  6. Step 6: Final answer
    x = 10,636.70

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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.