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Finding the Fourth Proportional to 8,216.16, 11,324.72 and 5,823.12

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Solution

The fourth proportional to 8,216.16, 11,324.72 and 5,823.12 is: 8,026.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,216.16 : 11,324.72 = 5,823.12 : x
  2. Step 2: Convert to fraction form
    8,216.16/11,324.72 = 5,823.12/x
  3. Step 3: Cross multiply
    8,216.16x = 11,324.72 × 5,823.12
  4. Step 4: Simplify right side
    8,216.16x = 65,945,203.53
  5. Step 5: Solve for x
    x = 65,945,203.53/8,216.16
  6. Step 6: Final answer
    x = 8,026.28

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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.