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Finding the Fourth Proportional to 6,827.36, 10,232.53 and 2,927.21

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Solution

The fourth proportional to 6,827.36, 10,232.53 and 2,927.21 is: 4,387.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,827.36 : 10,232.53 = 2,927.21 : x
  2. Step 2: Convert to fraction form
    6,827.36/10,232.53 = 2,927.21/x
  3. Step 3: Cross multiply
    6,827.36x = 10,232.53 × 2,927.21
  4. Step 4: Simplify right side
    6,827.36x = 29,952,705.66
  5. Step 5: Solve for x
    x = 29,952,705.66/6,827.36
  6. Step 6: Final answer
    x = 4,387.16

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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.