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Finding the Fourth Proportional to 11,232.27, 16,834.74 and 7,946.31

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Solution

The fourth proportional to 11,232.27, 16,834.74 and 7,946.31 is: 11,909.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,232.27 : 16,834.74 = 7,946.31 : x
  2. Step 2: Convert to fraction form
    11,232.27/16,834.74 = 7,946.31/x
  3. Step 3: Cross multiply
    11,232.27x = 16,834.74 × 7,946.31
  4. Step 4: Simplify right side
    11,232.27x = 133,774,062.81
  5. Step 5: Solve for x
    x = 133,774,062.81/11,232.27
  6. Step 6: Final answer
    x = 11,909.80

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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.