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Finding the Fourth Proportional to 8,212.32, 11,328.80 and 6,219.36

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Solution

The fourth proportional to 8,212.32, 11,328.80 and 6,219.36 is: 8,579.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,212.32 : 11,328.80 = 6,219.36 : x
  2. Step 2: Convert to fraction form
    8,212.32/11,328.80 = 6,219.36/x
  3. Step 3: Cross multiply
    8,212.32x = 11,328.80 × 6,219.36
  4. Step 4: Simplify right side
    8,212.32x = 70,457,885.57
  5. Step 5: Solve for x
    x = 70,457,885.57/8,212.32
  6. Step 6: Final answer
    x = 8,579.53

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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.