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Finding the Fourth Proportional to 11,651.61, 16,079.07 and 6,615.98

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Solution

The fourth proportional to 11,651.61, 16,079.07 and 6,615.98 is: 9,129.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,651.61 : 16,079.07 = 6,615.98 : x
  2. Step 2: Convert to fraction form
    11,651.61/16,079.07 = 6,615.98/x
  3. Step 3: Cross multiply
    11,651.61x = 16,079.07 × 6,615.98
  4. Step 4: Simplify right side
    11,651.61x = 106,378,725.14
  5. Step 5: Solve for x
    x = 106,378,725.14/11,651.61
  6. Step 6: Final answer
    x = 9,129.96

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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.