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Finding the Fourth Proportional to 8,216.32, 12,320.32 and 5,753.60

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Solution

The fourth proportional to 8,216.32, 12,320.32 and 5,753.60 is: 8,627.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,216.32 : 12,320.32 = 5,753.60 : x
  2. Step 2: Convert to fraction form
    8,216.32/12,320.32 = 5,753.60/x
  3. Step 3: Cross multiply
    8,216.32x = 12,320.32 × 5,753.60
  4. Step 4: Simplify right side
    8,216.32x = 70,886,193.15
  5. Step 5: Solve for x
    x = 70,886,193.15/8,216.32
  6. Step 6: Final answer
    x = 8,627.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.