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Finding the Fourth Proportional to 8,133.81, 11,224.53 and 4,596.81

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Solution

The fourth proportional to 8,133.81, 11,224.53 and 4,596.81 is: 6,343.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,133.81 : 11,224.53 = 4,596.81 : x
  2. Step 2: Convert to fraction form
    8,133.81/11,224.53 = 4,596.81/x
  3. Step 3: Cross multiply
    8,133.81x = 11,224.53 × 4,596.81
  4. Step 4: Simplify right side
    8,133.81x = 51,597,031.75
  5. Step 5: Solve for x
    x = 51,597,031.75/8,133.81
  6. Step 6: Final answer
    x = 6,343.53

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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.