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Finding the Fourth Proportional to 12,092.96, 16,688.64 and 6,787.72

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Solution

The fourth proportional to 12,092.96, 16,688.64 and 6,787.72 is: 9,367.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,092.96 : 16,688.64 = 6,787.72 : x
  2. Step 2: Convert to fraction form
    12,092.96/16,688.64 = 6,787.72/x
  3. Step 3: Cross multiply
    12,092.96x = 16,688.64 × 6,787.72
  4. Step 4: Simplify right side
    12,092.96x = 113,277,815.50
  5. Step 5: Solve for x
    x = 113,277,815.50/12,092.96
  6. Step 6: Final answer
    x = 9,367.25

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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.