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Finding the Fourth Proportional to 11,311.12, 15,608.76 and 6,274.92

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Solution

The fourth proportional to 11,311.12, 15,608.76 and 6,274.92 is: 8,659.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,311.12 : 15,608.76 = 6,274.92 : x
  2. Step 2: Convert to fraction form
    11,311.12/15,608.76 = 6,274.92/x
  3. Step 3: Cross multiply
    11,311.12x = 15,608.76 × 6,274.92
  4. Step 4: Simplify right side
    11,311.12x = 97,943,720.30
  5. Step 5: Solve for x
    x = 97,943,720.30/11,311.12
  6. Step 6: Final answer
    x = 8,659.06

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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.