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Finding the Fourth Proportional to 7,629.64, 11,444.52 and 3,733

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Solution

The fourth proportional to 7,629.64, 11,444.52 and 3,733 is: 5,599.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,629.64 : 11,444.52 = 3,733 : x
  2. Step 2: Convert to fraction form
    7,629.64/11,444.52 = 3,733/x
  3. Step 3: Cross multiply
    7,629.64x = 11,444.52 × 3,733
  4. Step 4: Simplify right side
    7,629.64x = 42,722,393.16
  5. Step 5: Solve for x
    x = 42,722,393.16/7,629.64
  6. Step 6: Final answer
    x = 5,599.53

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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.