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Finding the Fourth Proportional to 12,787.09, 17,648.28 and 8,008.84

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Solution

The fourth proportional to 12,787.09, 17,648.28 and 8,008.84 is: 11,053.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,787.09 : 17,648.28 = 8,008.84 : x
  2. Step 2: Convert to fraction form
    12,787.09/17,648.28 = 8,008.84/x
  3. Step 3: Cross multiply
    12,787.09x = 17,648.28 × 8,008.84
  4. Step 4: Simplify right side
    12,787.09x = 141,342,250.80
  5. Step 5: Solve for x
    x = 141,342,250.80/12,787.09
  6. Step 6: Final answer
    x = 11,053.52

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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.