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Finding the Fourth Proportional to 11,609.72, 16,029.75 and 7,139.48

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Solution

The fourth proportional to 11,609.72, 16,029.75 and 7,139.48 is: 9,857.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,609.72 : 16,029.75 = 7,139.48 : x
  2. Step 2: Convert to fraction form
    11,609.72/16,029.75 = 7,139.48/x
  3. Step 3: Cross multiply
    11,609.72x = 16,029.75 × 7,139.48
  4. Step 4: Simplify right side
    11,609.72x = 114,444,079.53
  5. Step 5: Solve for x
    x = 114,444,079.53/11,609.72
  6. Step 6: Final answer
    x = 9,857.61

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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.