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Finding the Fourth Proportional to 7,861.87, 11,782.05 and 4,346.66

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Solution

The fourth proportional to 7,861.87, 11,782.05 and 4,346.66 is: 6,514.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,861.87 : 11,782.05 = 4,346.66 : x
  2. Step 2: Convert to fraction form
    7,861.87/11,782.05 = 4,346.66/x
  3. Step 3: Cross multiply
    7,861.87x = 11,782.05 × 4,346.66
  4. Step 4: Simplify right side
    7,861.87x = 51,212,565.45
  5. Step 5: Solve for x
    x = 51,212,565.45/7,861.87
  6. Step 6: Final answer
    x = 6,514.04

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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.