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Finding the Fourth Proportional to 12,883.12, 17,778.68 and 7,294.64

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Solution

The fourth proportional to 12,883.12, 17,778.68 and 7,294.64 is: 10,066.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,883.12 : 17,778.68 = 7,294.64 : x
  2. Step 2: Convert to fraction form
    12,883.12/17,778.68 = 7,294.64/x
  3. Step 3: Cross multiply
    12,883.12x = 17,778.68 × 7,294.64
  4. Step 4: Simplify right side
    12,883.12x = 129,689,070.28
  5. Step 5: Solve for x
    x = 129,689,070.28/12,883.12
  6. Step 6: Final answer
    x = 10,066.59

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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.