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Finding the Fourth Proportional to 7,861.35, 11,781.30 and 4,346.16

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Solution

The fourth proportional to 7,861.35, 11,781.30 and 4,346.16 is: 6,513.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,861.35 : 11,781.30 = 4,346.16 : x
  2. Step 2: Convert to fraction form
    7,861.35/11,781.30 = 4,346.16/x
  3. Step 3: Cross multiply
    7,861.35x = 11,781.30 × 4,346.16
  4. Step 4: Simplify right side
    7,861.35x = 51,203,414.81
  5. Step 5: Solve for x
    x = 51,203,414.81/7,861.35
  6. Step 6: Final answer
    x = 6,513.31

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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.