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Finding the Fourth Proportional to 8,020.50, 11,068.29 and 5,226

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Solution

The fourth proportional to 8,020.50, 11,068.29 and 5,226 is: 7,211.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,020.50 : 11,068.29 = 5,226 : x
  2. Step 2: Convert to fraction form
    8,020.50/11,068.29 = 5,226/x
  3. Step 3: Cross multiply
    8,020.50x = 11,068.29 × 5,226
  4. Step 4: Simplify right side
    8,020.50x = 57,842,883.54
  5. Step 5: Solve for x
    x = 57,842,883.54/8,020.50
  6. Step 6: Final answer
    x = 7,211.88

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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.