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Finding the Fourth Proportional to 11,659.52, 16,079.64 and 7,466.96

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Solution

The fourth proportional to 11,659.52, 16,079.64 and 7,466.96 is: 10,297.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,659.52 : 16,079.64 = 7,466.96 : x
  2. Step 2: Convert to fraction form
    11,659.52/16,079.64 = 7,466.96/x
  3. Step 3: Cross multiply
    11,659.52x = 16,079.64 × 7,466.96
  4. Step 4: Simplify right side
    11,659.52x = 120,066,028.69
  5. Step 5: Solve for x
    x = 120,066,028.69/11,659.52
  6. Step 6: Final answer
    x = 10,297.68

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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.