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Finding the Fourth Proportional to 11,559.56, 17,344.71 and 3,663.29

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Solution

The fourth proportional to 11,559.56, 17,344.71 and 3,663.29 is: 5,496.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,559.56 : 17,344.71 = 3,663.29 : x
  2. Step 2: Convert to fraction form
    11,559.56/17,344.71 = 3,663.29/x
  3. Step 3: Cross multiply
    11,559.56x = 17,344.71 × 3,663.29
  4. Step 4: Simplify right side
    11,559.56x = 63,538,746.06
  5. Step 5: Solve for x
    x = 63,538,746.06/11,559.56
  6. Step 6: Final answer
    x = 5,496.64

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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.