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Finding the Fourth Proportional to 11,232.30, 16,834.77 and 7,946.34

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Solution

The fourth proportional to 11,232.30, 16,834.77 and 7,946.34 is: 11,909.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,232.30 : 16,834.77 = 7,946.34 : x
  2. Step 2: Convert to fraction form
    11,232.30/16,834.77 = 7,946.34/x
  3. Step 3: Cross multiply
    11,232.30x = 16,834.77 × 7,946.34
  4. Step 4: Simplify right side
    11,232.30x = 133,774,806.24
  5. Step 5: Solve for x
    x = 133,774,806.24/11,232.30
  6. Step 6: Final answer
    x = 11,909.83

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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.