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Finding the Fourth Proportional to 11,900.30, 16,416.90 and 8,365.55

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Solution

The fourth proportional to 11,900.30, 16,416.90 and 8,365.55 is: 11,540.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,900.30 : 16,416.90 = 8,365.55 : x
  2. Step 2: Convert to fraction form
    11,900.30/16,416.90 = 8,365.55/x
  3. Step 3: Cross multiply
    11,900.30x = 16,416.90 × 8,365.55
  4. Step 4: Simplify right side
    11,900.30x = 137,336,397.80
  5. Step 5: Solve for x
    x = 137,336,397.80/11,900.30
  6. Step 6: Final answer
    x = 11,540.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.