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Finding the Fourth Proportional to 10,124.82, 13,990.08 and 7,787.16

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Solution

The fourth proportional to 10,124.82, 13,990.08 and 7,787.16 is: 10,759.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,124.82 : 13,990.08 = 7,787.16 : x
  2. Step 2: Convert to fraction form
    10,124.82/13,990.08 = 7,787.16/x
  3. Step 3: Cross multiply
    10,124.82x = 13,990.08 × 7,787.16
  4. Step 4: Simplify right side
    10,124.82x = 108,942,991.37
  5. Step 5: Solve for x
    x = 108,942,991.37/10,124.82
  6. Step 6: Final answer
    x = 10,759.99

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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.