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Finding the Fourth Proportional to 12,883.22, 17,778.88 and 7,508.84

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Solution

The fourth proportional to 12,883.22, 17,778.88 and 7,508.84 is: 10,362.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,883.22 : 17,778.88 = 7,508.84 : x
  2. Step 2: Convert to fraction form
    12,883.22/17,778.88 = 7,508.84/x
  3. Step 3: Cross multiply
    12,883.22x = 17,778.88 × 7,508.84
  4. Step 4: Simplify right side
    12,883.22x = 133,498,685.79
  5. Step 5: Solve for x
    x = 133,498,685.79/12,883.22
  6. Step 6: Final answer
    x = 10,362.22

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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.