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Finding the Fourth Proportional to 8,157.08, 12,177.02 and 7,578.88

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Solution

The fourth proportional to 8,157.08, 12,177.02 and 7,578.88 is: 11,313.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,157.08 : 12,177.02 = 7,578.88 : x
  2. Step 2: Convert to fraction form
    8,157.08/12,177.02 = 7,578.88/x
  3. Step 3: Cross multiply
    8,157.08x = 12,177.02 × 7,578.88
  4. Step 4: Simplify right side
    8,157.08x = 92,288,173.34
  5. Step 5: Solve for x
    x = 92,288,173.34/8,157.08
  6. Step 6: Final answer
    x = 11,313.87

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.