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Finding the Fourth Proportional to 8,005.34, 11,034.15 and 5,351.78

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Solution

The fourth proportional to 8,005.34, 11,034.15 and 5,351.78 is: 7,376.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,005.34 : 11,034.15 = 5,351.78 : x
  2. Step 2: Convert to fraction form
    8,005.34/11,034.15 = 5,351.78/x
  3. Step 3: Cross multiply
    8,005.34x = 11,034.15 × 5,351.78
  4. Step 4: Simplify right side
    8,005.34x = 59,052,343.29
  5. Step 5: Solve for x
    x = 59,052,343.29/8,005.34
  6. Step 6: Final answer
    x = 7,376.62

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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.