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Finding the Fourth Proportional to 11,726.76, 17,568.06 and 5,796.72

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Solution

The fourth proportional to 11,726.76, 17,568.06 and 5,796.72 is: 8,684.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,726.76 : 17,568.06 = 5,796.72 : x
  2. Step 2: Convert to fraction form
    11,726.76/17,568.06 = 5,796.72/x
  3. Step 3: Cross multiply
    11,726.76x = 17,568.06 × 5,796.72
  4. Step 4: Simplify right side
    11,726.76x = 101,837,124.76
  5. Step 5: Solve for x
    x = 101,837,124.76/11,726.76
  6. Step 6: Final answer
    x = 8,684.17

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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.