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Finding the Fourth Proportional to 11,651.25, 16,064.80 and 9,518.92

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Solution

The fourth proportional to 11,651.25, 16,064.80 and 9,518.92 is: 13,124.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,651.25 : 16,064.80 = 9,518.92 : x
  2. Step 2: Convert to fraction form
    11,651.25/16,064.80 = 9,518.92/x
  3. Step 3: Cross multiply
    11,651.25x = 16,064.80 × 9,518.92
  4. Step 4: Simplify right side
    11,651.25x = 152,919,546.02
  5. Step 5: Solve for x
    x = 152,919,546.02/11,651.25
  6. Step 6: Final answer
    x = 13,124.73

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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.