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Finding the Fourth Proportional to 8,261.96, 11,398.74 and 4,722.68

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Solution

The fourth proportional to 8,261.96, 11,398.74 and 4,722.68 is: 6,515.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,261.96 : 11,398.74 = 4,722.68 : x
  2. Step 2: Convert to fraction form
    8,261.96/11,398.74 = 4,722.68/x
  3. Step 3: Cross multiply
    8,261.96x = 11,398.74 × 4,722.68
  4. Step 4: Simplify right side
    8,261.96x = 53,832,601.42
  5. Step 5: Solve for x
    x = 53,832,601.42/8,261.96
  6. Step 6: Final answer
    x = 6,515.72

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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.