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Finding the Fourth Proportional to 11,192.95, 15,446.78 and 6,157.07

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Solution

The fourth proportional to 11,192.95, 15,446.78 and 6,157.07 is: 8,497.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,192.95 : 15,446.78 = 6,157.07 : x
  2. Step 2: Convert to fraction form
    11,192.95/15,446.78 = 6,157.07/x
  3. Step 3: Cross multiply
    11,192.95x = 15,446.78 × 6,157.07
  4. Step 4: Simplify right side
    11,192.95x = 95,107,000.25
  5. Step 5: Solve for x
    x = 95,107,000.25/11,192.95
  6. Step 6: Final answer
    x = 8,497.05

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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.