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Finding the Fourth Proportional to 8,233.74, 11,362.46 and 4,697.01

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Solution

The fourth proportional to 8,233.74, 11,362.46 and 4,697.01 is: 6,481.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,233.74 : 11,362.46 = 4,697.01 : x
  2. Step 2: Convert to fraction form
    8,233.74/11,362.46 = 4,697.01/x
  3. Step 3: Cross multiply
    8,233.74x = 11,362.46 × 4,697.01
  4. Step 4: Simplify right side
    8,233.74x = 53,369,564.76
  5. Step 5: Solve for x
    x = 53,369,564.76/8,233.74
  6. Step 6: Final answer
    x = 6,481.81

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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.