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Finding the Fourth Proportional to 12,787.12, 17,646.84 and 7,198

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Solution

The fourth proportional to 12,787.12, 17,646.84 and 7,198 is: 9,933.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,787.12 : 17,646.84 = 7,198 : x
  2. Step 2: Convert to fraction form
    12,787.12/17,646.84 = 7,198/x
  3. Step 3: Cross multiply
    12,787.12x = 17,646.84 × 7,198
  4. Step 4: Simplify right side
    12,787.12x = 127,021,954.32
  5. Step 5: Solve for x
    x = 127,021,954.32/12,787.12
  6. Step 6: Final answer
    x = 9,933.59

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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.