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Finding the Fourth Proportional to 10,455.35, 15,679.04 and 4,213.71

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Solution

The fourth proportional to 10,455.35, 15,679.04 and 4,213.71 is: 6,318.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,455.35 : 15,679.04 = 4,213.71 : x
  2. Step 2: Convert to fraction form
    10,455.35/15,679.04 = 4,213.71/x
  3. Step 3: Cross multiply
    10,455.35x = 15,679.04 × 4,213.71
  4. Step 4: Simplify right side
    10,455.35x = 66,066,906.57
  5. Step 5: Solve for x
    x = 66,066,906.57/10,455.35
  6. Step 6: Final answer
    x = 6,318.96

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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.