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Finding the Fourth Proportional to 8,314.50, 11,472.97 and 5,085.94

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Solution

The fourth proportional to 8,314.50, 11,472.97 and 5,085.94 is: 7,017.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,314.50 : 11,472.97 = 5,085.94 : x
  2. Step 2: Convert to fraction form
    8,314.50/11,472.97 = 5,085.94/x
  3. Step 3: Cross multiply
    8,314.50x = 11,472.97 × 5,085.94
  4. Step 4: Simplify right side
    8,314.50x = 58,350,837.04
  5. Step 5: Solve for x
    x = 58,350,837.04/8,314.50
  6. Step 6: Final answer
    x = 7,017.96

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.