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Finding the Fourth Proportional to 11,766.99, 17,655.07 and 5,188.55

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Solution

The fourth proportional to 11,766.99, 17,655.07 and 5,188.55 is: 7,784.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,766.99 : 17,655.07 = 5,188.55 : x
  2. Step 2: Convert to fraction form
    11,766.99/17,655.07 = 5,188.55/x
  3. Step 3: Cross multiply
    11,766.99x = 17,655.07 × 5,188.55
  4. Step 4: Simplify right side
    11,766.99x = 91,604,213.45
  5. Step 5: Solve for x
    x = 91,604,213.45/11,766.99
  6. Step 6: Final answer
    x = 7,784.85

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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.