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Finding the Fourth Proportional to 10,922.64, 15,073.20 and 6,208.44

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Solution

The fourth proportional to 10,922.64, 15,073.20 and 6,208.44 is: 8,567.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,922.64 : 15,073.20 = 6,208.44 : x
  2. Step 2: Convert to fraction form
    10,922.64/15,073.20 = 6,208.44/x
  3. Step 3: Cross multiply
    10,922.64x = 15,073.20 × 6,208.44
  4. Step 4: Simplify right side
    10,922.64x = 93,581,057.81
  5. Step 5: Solve for x
    x = 93,581,057.81/10,922.64
  6. Step 6: Final answer
    x = 8,567.62

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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.