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Finding the Fourth Proportional to 11,574.36, 15,971.82 and 6,538.79

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Solution

The fourth proportional to 11,574.36, 15,971.82 and 6,538.79 is: 9,023.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,574.36 : 15,971.82 = 6,538.79 : x
  2. Step 2: Convert to fraction form
    11,574.36/15,971.82 = 6,538.79/x
  3. Step 3: Cross multiply
    11,574.36x = 15,971.82 × 6,538.79
  4. Step 4: Simplify right side
    11,574.36x = 104,436,297.04
  5. Step 5: Solve for x
    x = 104,436,297.04/11,574.36
  6. Step 6: Final answer
    x = 9,023.07

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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.