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Finding the Fourth Proportional to 12,529.77, 17,292.62 and 7,751.98

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Solution

The fourth proportional to 12,529.77, 17,292.62 and 7,751.98 is: 10,698.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,529.77 : 17,292.62 = 7,751.98 : x
  2. Step 2: Convert to fraction form
    12,529.77/17,292.62 = 7,751.98/x
  3. Step 3: Cross multiply
    12,529.77x = 17,292.62 × 7,751.98
  4. Step 4: Simplify right side
    12,529.77x = 134,052,085.38
  5. Step 5: Solve for x
    x = 134,052,085.38/12,529.77
  6. Step 6: Final answer
    x = 10,698.69

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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.