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Finding the Fourth Proportional to 7,633.04, 11,449.12 and 2,438.52

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Solution

The fourth proportional to 7,633.04, 11,449.12 and 2,438.52 is: 3,657.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,633.04 : 11,449.12 = 2,438.52 : x
  2. Step 2: Convert to fraction form
    7,633.04/11,449.12 = 2,438.52/x
  3. Step 3: Cross multiply
    7,633.04x = 11,449.12 × 2,438.52
  4. Step 4: Simplify right side
    7,633.04x = 27,918,908.10
  5. Step 5: Solve for x
    x = 27,918,908.10/7,633.04
  6. Step 6: Final answer
    x = 3,657.64

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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.