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Finding the Fourth Proportional to 8,202.64, 11,319.06 and 6,438.46

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Solution

The fourth proportional to 8,202.64, 11,319.06 and 6,438.46 is: 8,884.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,202.64 : 11,319.06 = 6,438.46 : x
  2. Step 2: Convert to fraction form
    8,202.64/11,319.06 = 6,438.46/x
  3. Step 3: Cross multiply
    8,202.64x = 11,319.06 × 6,438.46
  4. Step 4: Simplify right side
    8,202.64x = 72,877,315.05
  5. Step 5: Solve for x
    x = 72,877,315.05/8,202.64
  6. Step 6: Final answer
    x = 8,884.62

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