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Finding the Fourth Proportional to 8,468.22, 11,685.27 and 4,741.50

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Solution

The fourth proportional to 8,468.22, 11,685.27 and 4,741.50 is: 6,542.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,468.22 : 11,685.27 = 4,741.50 : x
  2. Step 2: Convert to fraction form
    8,468.22/11,685.27 = 4,741.50/x
  3. Step 3: Cross multiply
    8,468.22x = 11,685.27 × 4,741.50
  4. Step 4: Simplify right side
    8,468.22x = 55,405,707.71
  5. Step 5: Solve for x
    x = 55,405,707.71/8,468.22
  6. Step 6: Final answer
    x = 6,542.78

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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.