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Finding the Fourth Proportional to 7,650.74, 11,475.02 and 3,754.10

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Solution

The fourth proportional to 7,650.74, 11,475.02 and 3,754.10 is: 5,630.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,650.74 : 11,475.02 = 3,754.10 : x
  2. Step 2: Convert to fraction form
    7,650.74/11,475.02 = 3,754.10/x
  3. Step 3: Cross multiply
    7,650.74x = 11,475.02 × 3,754.10
  4. Step 4: Simplify right side
    7,650.74x = 43,078,372.58
  5. Step 5: Solve for x
    x = 43,078,372.58/7,650.74
  6. Step 6: Final answer
    x = 5,630.62

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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.