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Finding the Fourth Proportional to 10,922.31, 15,074.17 and 6,205.68

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Solution

The fourth proportional to 10,922.31, 15,074.17 and 6,205.68 is: 8,564.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,922.31 : 15,074.17 = 6,205.68 : x
  2. Step 2: Convert to fraction form
    10,922.31/15,074.17 = 6,205.68/x
  3. Step 3: Cross multiply
    10,922.31x = 15,074.17 × 6,205.68
  4. Step 4: Simplify right side
    10,922.31x = 93,545,459.77
  5. Step 5: Solve for x
    x = 93,545,459.77/10,922.31
  6. Step 6: Final answer
    x = 8,564.62

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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.