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Finding the Fourth Proportional to 11,600.47, 16,016.97 and 7,130.22

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Solution

The fourth proportional to 11,600.47, 16,016.97 and 7,130.22 is: 9,844.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,600.47 : 16,016.97 = 7,130.22 : x
  2. Step 2: Convert to fraction form
    11,600.47/16,016.97 = 7,130.22/x
  3. Step 3: Cross multiply
    11,600.47x = 16,016.97 × 7,130.22
  4. Step 4: Simplify right side
    11,600.47x = 114,204,519.83
  5. Step 5: Solve for x
    x = 114,204,519.83/11,600.47
  6. Step 6: Final answer
    x = 9,844.82

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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.