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Finding the Fourth Proportional to 10,783.88, 16,155.10 and 6,611.73

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Solution

The fourth proportional to 10,783.88, 16,155.10 and 6,611.73 is: 9,904.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,783.88 : 16,155.10 = 6,611.73 : x
  2. Step 2: Convert to fraction form
    10,783.88/16,155.10 = 6,611.73/x
  3. Step 3: Cross multiply
    10,783.88x = 16,155.10 × 6,611.73
  4. Step 4: Simplify right side
    10,783.88x = 106,813,069.82
  5. Step 5: Solve for x
    x = 106,813,069.82/10,783.88
  6. Step 6: Final answer
    x = 9,904.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.