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Finding the Fourth Proportional to 11,615.58, 16,028.58 and 6,835.73

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Solution

The fourth proportional to 11,615.58, 16,028.58 and 6,835.73 is: 9,432.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,615.58 : 16,028.58 = 6,835.73 : x
  2. Step 2: Convert to fraction form
    11,615.58/16,028.58 = 6,835.73/x
  3. Step 3: Cross multiply
    11,615.58x = 16,028.58 × 6,835.73
  4. Step 4: Simplify right side
    11,615.58x = 109,566,965.02
  5. Step 5: Solve for x
    x = 109,566,965.02/11,615.58
  6. Step 6: Final answer
    x = 9,432.76

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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.