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Finding the Fourth Proportional to 11,020.32, 15,203.74 and 6,302.08

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Solution

The fourth proportional to 11,020.32, 15,203.74 and 6,302.08 is: 8,694.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,020.32 : 15,203.74 = 6,302.08 : x
  2. Step 2: Convert to fraction form
    11,020.32/15,203.74 = 6,302.08/x
  3. Step 3: Cross multiply
    11,020.32x = 15,203.74 × 6,302.08
  4. Step 4: Simplify right side
    11,020.32x = 95,815,185.78
  5. Step 5: Solve for x
    x = 95,815,185.78/11,020.32
  6. Step 6: Final answer
    x = 8,694.41

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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.