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Finding the Fourth Proportional to 11,606.22, 16,016.13 and 6,570.72

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Solution

The fourth proportional to 11,606.22, 16,016.13 and 6,570.72 is: 9,067.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,606.22 : 16,016.13 = 6,570.72 : x
  2. Step 2: Convert to fraction form
    11,606.22/16,016.13 = 6,570.72/x
  3. Step 3: Cross multiply
    11,606.22x = 16,016.13 × 6,570.72
  4. Step 4: Simplify right side
    11,606.22x = 105,237,505.71
  5. Step 5: Solve for x
    x = 105,237,505.71/11,606.22
  6. Step 6: Final answer
    x = 9,067.34

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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.