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Finding the Fourth Proportional to 11,615.32, 16,027.99 and 6,578.54

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Solution

The fourth proportional to 11,615.32, 16,027.99 and 6,578.54 is: 9,077.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,615.32 : 16,027.99 = 6,578.54 : x
  2. Step 2: Convert to fraction form
    11,615.32/16,027.99 = 6,578.54/x
  3. Step 3: Cross multiply
    11,615.32x = 16,027.99 × 6,578.54
  4. Step 4: Simplify right side
    11,615.32x = 105,440,660.30
  5. Step 5: Solve for x
    x = 105,440,660.30/11,615.32
  6. Step 6: Final answer
    x = 9,077.72

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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.