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Finding the Fourth Proportional to 11,561.82, 15,954.40 and 6,527.26

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Solution

The fourth proportional to 11,561.82, 15,954.40 and 6,527.26 is: 9,007.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,561.82 : 15,954.40 = 6,527.26 : x
  2. Step 2: Convert to fraction form
    11,561.82/15,954.40 = 6,527.26/x
  3. Step 3: Cross multiply
    11,561.82x = 15,954.40 × 6,527.26
  4. Step 4: Simplify right side
    11,561.82x = 104,138,484.31
  5. Step 5: Solve for x
    x = 104,138,484.31/11,561.82
  6. Step 6: Final answer
    x = 9,007.11

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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.