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Finding the Fourth Proportional to 10,957.86, 16,436.81 and 3,167.30

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Solution

The fourth proportional to 10,957.86, 16,436.81 and 3,167.30 is: 4,750.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,957.86 : 16,436.81 = 3,167.30 : x
  2. Step 2: Convert to fraction form
    10,957.86/16,436.81 = 3,167.30/x
  3. Step 3: Cross multiply
    10,957.86x = 16,436.81 × 3,167.30
  4. Step 4: Simplify right side
    10,957.86x = 52,060,308.31
  5. Step 5: Solve for x
    x = 52,060,308.31/10,957.86
  6. Step 6: Final answer
    x = 4,750.96

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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.