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Finding the Fourth Proportional to 8,314.22, 11,475.09 and 4,957.25

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Solution

The fourth proportional to 8,314.22, 11,475.09 and 4,957.25 is: 6,841.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,314.22 : 11,475.09 = 4,957.25 : x
  2. Step 2: Convert to fraction form
    8,314.22/11,475.09 = 4,957.25/x
  3. Step 3: Cross multiply
    8,314.22x = 11,475.09 × 4,957.25
  4. Step 4: Simplify right side
    8,314.22x = 56,884,832.53
  5. Step 5: Solve for x
    x = 56,884,832.53/8,314.22
  6. Step 6: Final answer
    x = 6,841.88

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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.