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Finding the Fourth Proportional to 12,292.52, 16,961.13 and 7,814.63

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Solution

The fourth proportional to 12,292.52, 16,961.13 and 7,814.63 is: 10,782.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,292.52 : 16,961.13 = 7,814.63 : x
  2. Step 2: Convert to fraction form
    12,292.52/16,961.13 = 7,814.63/x
  3. Step 3: Cross multiply
    12,292.52x = 16,961.13 × 7,814.63
  4. Step 4: Simplify right side
    12,292.52x = 132,544,997.73
  5. Step 5: Solve for x
    x = 132,544,997.73/12,292.52
  6. Step 6: Final answer
    x = 10,782.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.