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Finding the Fourth Proportional to 7,474.24, 11,194.68 and 5,818

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Solution

The fourth proportional to 7,474.24, 11,194.68 and 5,818 is: 8,714.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,474.24 : 11,194.68 = 5,818 : x
  2. Step 2: Convert to fraction form
    7,474.24/11,194.68 = 5,818/x
  3. Step 3: Cross multiply
    7,474.24x = 11,194.68 × 5,818
  4. Step 4: Simplify right side
    7,474.24x = 65,130,648.24
  5. Step 5: Solve for x
    x = 65,130,648.24/7,474.24
  6. Step 6: Final answer
    x = 8,714.02

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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.