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Finding the Fourth Proportional to 7,861.66, 11,777.04 and 4,567.84

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Solution

The fourth proportional to 7,861.66, 11,777.04 and 4,567.84 is: 6,842.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,861.66 : 11,777.04 = 4,567.84 : x
  2. Step 2: Convert to fraction form
    7,861.66/11,777.04 = 4,567.84/x
  3. Step 3: Cross multiply
    7,861.66x = 11,777.04 × 4,567.84
  4. Step 4: Simplify right side
    7,861.66x = 53,795,634.39
  5. Step 5: Solve for x
    x = 53,795,634.39/7,861.66
  6. Step 6: Final answer
    x = 6,842.78

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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.