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Finding the Fourth Proportional to 10,493.46, 15,759.63 and 8,316.18

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Solution

The fourth proportional to 10,493.46, 15,759.63 and 8,316.18 is: 12,489.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,493.46 : 15,759.63 = 8,316.18 : x
  2. Step 2: Convert to fraction form
    10,493.46/15,759.63 = 8,316.18/x
  3. Step 3: Cross multiply
    10,493.46x = 15,759.63 × 8,316.18
  4. Step 4: Simplify right side
    10,493.46x = 131,059,919.81
  5. Step 5: Solve for x
    x = 131,059,919.81/10,493.46
  6. Step 6: Final answer
    x = 12,489.68

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