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Finding the Fourth Proportional to 11,470.87, 17,211.57 and 6,800.14

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Solution

The fourth proportional to 11,470.87, 17,211.57 and 6,800.14 is: 10,203.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,470.87 : 17,211.57 = 6,800.14 : x
  2. Step 2: Convert to fraction form
    11,470.87/17,211.57 = 6,800.14/x
  3. Step 3: Cross multiply
    11,470.87x = 17,211.57 × 6,800.14
  4. Step 4: Simplify right side
    11,470.87x = 117,041,085.62
  5. Step 5: Solve for x
    x = 117,041,085.62/11,470.87
  6. Step 6: Final answer
    x = 10,203.33

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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.