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Finding the Fourth Proportional to 11,418.47, 15,758.22 and 6,383.06

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Solution

The fourth proportional to 11,418.47, 15,758.22 and 6,383.06 is: 8,809.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,418.47 : 15,758.22 = 6,383.06 : x
  2. Step 2: Convert to fraction form
    11,418.47/15,758.22 = 6,383.06/x
  3. Step 3: Cross multiply
    11,418.47x = 15,758.22 × 6,383.06
  4. Step 4: Simplify right side
    11,418.47x = 100,585,663.75
  5. Step 5: Solve for x
    x = 100,585,663.75/11,418.47
  6. Step 6: Final answer
    x = 8,809.03

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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.