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Finding the Fourth Proportional to 12,787.72, 17,647.86 and 7,199.08

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Solution

The fourth proportional to 12,787.72, 17,647.86 and 7,199.08 is: 9,935.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,787.72 : 17,647.86 = 7,199.08 : x
  2. Step 2: Convert to fraction form
    12,787.72/17,647.86 = 7,199.08/x
  3. Step 3: Cross multiply
    12,787.72x = 17,647.86 × 7,199.08
  4. Step 4: Simplify right side
    12,787.72x = 127,048,355.97
  5. Step 5: Solve for x
    x = 127,048,355.97/12,787.72
  6. Step 6: Final answer
    x = 9,935.18

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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.