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Finding the Fourth Proportional to 12,706.83, 17,530.38 and 7,923.96

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Solution

The fourth proportional to 12,706.83, 17,530.38 and 7,923.96 is: 10,931.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,706.83 : 17,530.38 = 7,923.96 : x
  2. Step 2: Convert to fraction form
    12,706.83/17,530.38 = 7,923.96/x
  3. Step 3: Cross multiply
    12,706.83x = 17,530.38 × 7,923.96
  4. Step 4: Simplify right side
    12,706.83x = 138,910,029.90
  5. Step 5: Solve for x
    x = 138,910,029.90/12,706.83
  6. Step 6: Final answer
    x = 10,931.92

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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.