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Finding the Fourth Proportional to 12,883.48, 17,778.72 and 7,294.48

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Solution

The fourth proportional to 12,883.48, 17,778.72 and 7,294.48 is: 10,066.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,883.48 : 17,778.72 = 7,294.48 : x
  2. Step 2: Convert to fraction form
    12,883.48/17,778.72 = 7,294.48/x
  3. Step 3: Cross multiply
    12,883.48x = 17,778.72 × 7,294.48
  4. Step 4: Simplify right side
    12,883.48x = 129,686,517.47
  5. Step 5: Solve for x
    x = 129,686,517.47/12,883.48
  6. Step 6: Final answer
    x = 10,066.11

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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.