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Finding the Fourth Proportional to 11,803.42, 16,302.20 and 8,020.26

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Solution

The fourth proportional to 11,803.42, 16,302.20 and 8,020.26 is: 11,077.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,803.42 : 16,302.20 = 8,020.26 : x
  2. Step 2: Convert to fraction form
    11,803.42/16,302.20 = 8,020.26/x
  3. Step 3: Cross multiply
    11,803.42x = 16,302.20 × 8,020.26
  4. Step 4: Simplify right side
    11,803.42x = 130,747,842.47
  5. Step 5: Solve for x
    x = 130,747,842.47/11,803.42
  6. Step 6: Final answer
    x = 11,077.12

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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.