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Finding the Fourth Proportional to 11,538.88, 15,923.91 and 6,823.24

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Solution

The fourth proportional to 11,538.88, 15,923.91 and 6,823.24 is: 9,416.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,538.88 : 15,923.91 = 6,823.24 : x
  2. Step 2: Convert to fraction form
    11,538.88/15,923.91 = 6,823.24/x
  3. Step 3: Cross multiply
    11,538.88x = 15,923.91 × 6,823.24
  4. Step 4: Simplify right side
    11,538.88x = 108,652,659.67
  5. Step 5: Solve for x
    x = 108,652,659.67/11,538.88
  6. Step 6: Final answer
    x = 9,416.22

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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.