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Finding the Fourth Proportional to 8,233.31, 11,362.01 and 4,507.31

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Solution

The fourth proportional to 8,233.31, 11,362.01 and 4,507.31 is: 6,220.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,233.31 : 11,362.01 = 4,507.31 : x
  2. Step 2: Convert to fraction form
    8,233.31/11,362.01 = 4,507.31/x
  3. Step 3: Cross multiply
    8,233.31x = 11,362.01 × 4,507.31
  4. Step 4: Simplify right side
    8,233.31x = 51,212,107.16
  5. Step 5: Solve for x
    x = 51,212,107.16/8,233.31
  6. Step 6: Final answer
    x = 6,220.11

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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.