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Finding the Fourth Proportional to 8,074.54, 11,142.24 and 4,537.06

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Solution

The fourth proportional to 8,074.54, 11,142.24 and 4,537.06 is: 6,260.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,074.54 : 11,142.24 = 4,537.06 : x
  2. Step 2: Convert to fraction form
    8,074.54/11,142.24 = 4,537.06/x
  3. Step 3: Cross multiply
    8,074.54x = 11,142.24 × 4,537.06
  4. Step 4: Simplify right side
    8,074.54x = 50,553,011.41
  5. Step 5: Solve for x
    x = 50,553,011.41/8,074.54
  6. Step 6: Final answer
    x = 6,260.79

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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.