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Finding the Fourth Proportional to 8,723.25, 12,032.96 and 5,186.25

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Solution

The fourth proportional to 8,723.25, 12,032.96 and 5,186.25 is: 7,153.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,723.25 : 12,032.96 = 5,186.25 : x
  2. Step 2: Convert to fraction form
    8,723.25/12,032.96 = 5,186.25/x
  3. Step 3: Cross multiply
    8,723.25x = 12,032.96 × 5,186.25
  4. Step 4: Simplify right side
    8,723.25x = 62,405,912.87
  5. Step 5: Solve for x
    x = 62,405,912.87/8,723.25
  6. Step 6: Final answer
    x = 7,153.98

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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.