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Finding the Fourth Proportional to 10,213.96, 15,295.02 and 8,157.64

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Solution

The fourth proportional to 10,213.96, 15,295.02 and 8,157.64 is: 12,215.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,213.96 : 15,295.02 = 8,157.64 : x
  2. Step 2: Convert to fraction form
    10,213.96/15,295.02 = 8,157.64/x
  3. Step 3: Cross multiply
    10,213.96x = 15,295.02 × 8,157.64
  4. Step 4: Simplify right side
    10,213.96x = 124,771,266.95
  5. Step 5: Solve for x
    x = 124,771,266.95/10,213.96
  6. Step 6: Final answer
    x = 12,215.76

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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.