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Finding the Fourth Proportional to 11,732.94, 16,191.39 and 6,427.65

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Solution

The fourth proportional to 11,732.94, 16,191.39 and 6,427.65 is: 8,870.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,732.94 : 16,191.39 = 6,427.65 : x
  2. Step 2: Convert to fraction form
    11,732.94/16,191.39 = 6,427.65/x
  3. Step 3: Cross multiply
    11,732.94x = 16,191.39 × 6,427.65
  4. Step 4: Simplify right side
    11,732.94x = 104,072,587.93
  5. Step 5: Solve for x
    x = 104,072,587.93/11,732.94
  6. Step 6: Final answer
    x = 8,870.12

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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.