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Finding the Fourth Proportional to 10,874.56, 16,303.04 and 5,034.88

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Solution

The fourth proportional to 10,874.56, 16,303.04 and 5,034.88 is: 7,548.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,874.56 : 16,303.04 = 5,034.88 : x
  2. Step 2: Convert to fraction form
    10,874.56/16,303.04 = 5,034.88/x
  3. Step 3: Cross multiply
    10,874.56x = 16,303.04 × 5,034.88
  4. Step 4: Simplify right side
    10,874.56x = 82,083,850.04
  5. Step 5: Solve for x
    x = 82,083,850.04/10,874.56
  6. Step 6: Final answer
    x = 7,548.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.