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Finding the Fourth Proportional to 11,555.88, 17,322.86 and 7,116.26

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Solution

The fourth proportional to 11,555.88, 17,322.86 and 7,116.26 is: 10,667.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,555.88 : 17,322.86 = 7,116.26 : x
  2. Step 2: Convert to fraction form
    11,555.88/17,322.86 = 7,116.26/x
  3. Step 3: Cross multiply
    11,555.88x = 17,322.86 × 7,116.26
  4. Step 4: Simplify right side
    11,555.88x = 123,273,975.70
  5. Step 5: Solve for x
    x = 123,273,975.70/11,555.88
  6. Step 6: Final answer
    x = 10,667.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.