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Finding the Fourth Proportional to 7,726.32, 11,597.04 and 5,538.96

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Solution

The fourth proportional to 7,726.32, 11,597.04 and 5,538.96 is: 8,313.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,726.32 : 11,597.04 = 5,538.96 : x
  2. Step 2: Convert to fraction form
    7,726.32/11,597.04 = 5,538.96/x
  3. Step 3: Cross multiply
    7,726.32x = 11,597.04 × 5,538.96
  4. Step 4: Simplify right side
    7,726.32x = 64,235,540.68
  5. Step 5: Solve for x
    x = 64,235,540.68/7,726.32
  6. Step 6: Final answer
    x = 8,313.86

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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.