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Finding the Fourth Proportional to 11,808.75, 16,295.90 and 6,503.57

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Solution

The fourth proportional to 11,808.75, 16,295.90 and 6,503.57 is: 8,974.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,808.75 : 16,295.90 = 6,503.57 : x
  2. Step 2: Convert to fraction form
    11,808.75/16,295.90 = 6,503.57/x
  3. Step 3: Cross multiply
    11,808.75x = 16,295.90 × 6,503.57
  4. Step 4: Simplify right side
    11,808.75x = 105,981,526.36
  5. Step 5: Solve for x
    x = 105,981,526.36/11,808.75
  6. Step 6: Final answer
    x = 8,974.83

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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.