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Finding the Fourth Proportional to 12,761.07, 17,612.45 and 8,222.47

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Solution

The fourth proportional to 12,761.07, 17,612.45 and 8,222.47 is: 11,348.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,761.07 : 17,612.45 = 8,222.47 : x
  2. Step 2: Convert to fraction form
    12,761.07/17,612.45 = 8,222.47/x
  3. Step 3: Cross multiply
    12,761.07x = 17,612.45 × 8,222.47
  4. Step 4: Simplify right side
    12,761.07x = 144,817,841.75
  5. Step 5: Solve for x
    x = 144,817,841.75/12,761.07
  6. Step 6: Final answer
    x = 11,348.41

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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.