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Finding the Fourth Proportional to 12,608.12, 17,398.96 and 7,895

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Solution

The fourth proportional to 12,608.12, 17,398.96 and 7,895 is: 10,894.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,608.12 : 17,398.96 = 7,895 : x
  2. Step 2: Convert to fraction form
    12,608.12/17,398.96 = 7,895/x
  3. Step 3: Cross multiply
    12,608.12x = 17,398.96 × 7,895
  4. Step 4: Simplify right side
    12,608.12x = 137,364,789.20
  5. Step 5: Solve for x
    x = 137,364,789.20/12,608.12
  6. Step 6: Final answer
    x = 10,894.95

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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.