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Finding the Fourth Proportional to 8,134.08, 11,224.89 and 4,946.22

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Solution

The fourth proportional to 8,134.08, 11,224.89 and 4,946.22 is: 6,825.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,134.08 : 11,224.89 = 4,946.22 : x
  2. Step 2: Convert to fraction form
    8,134.08/11,224.89 = 4,946.22/x
  3. Step 3: Cross multiply
    8,134.08x = 11,224.89 × 4,946.22
  4. Step 4: Simplify right side
    8,134.08x = 55,520,775.42
  5. Step 5: Solve for x
    x = 55,520,775.42/8,134.08
  6. Step 6: Final answer
    x = 6,825.70

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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.