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Finding the Fourth Proportional to 8,357.36, 11,523.78 and 5,706.20

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Solution

The fourth proportional to 8,357.36, 11,523.78 and 5,706.20 is: 7,868.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,357.36 : 11,523.78 = 5,706.20 : x
  2. Step 2: Convert to fraction form
    8,357.36/11,523.78 = 5,706.20/x
  3. Step 3: Cross multiply
    8,357.36x = 11,523.78 × 5,706.20
  4. Step 4: Simplify right side
    8,357.36x = 65,756,993.44
  5. Step 5: Solve for x
    x = 65,756,993.44/8,357.36
  6. Step 6: Final answer
    x = 7,868.15

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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.