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Finding the Fourth Proportional to 12,087.79, 16,681.24 and 6,783.85

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Solution

The fourth proportional to 12,087.79, 16,681.24 and 6,783.85 is: 9,361.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,087.79 : 16,681.24 = 6,783.85 : x
  2. Step 2: Convert to fraction form
    12,087.79/16,681.24 = 6,783.85/x
  3. Step 3: Cross multiply
    12,087.79x = 16,681.24 × 6,783.85
  4. Step 4: Simplify right side
    12,087.79x = 113,163,029.97
  5. Step 5: Solve for x
    x = 113,163,029.97/12,087.79
  6. Step 6: Final answer
    x = 9,361.77

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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.