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Finding the Fourth Proportional to 7,544.76, 11,317.65 and 1,998.04

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Solution

The fourth proportional to 7,544.76, 11,317.65 and 1,998.04 is: 2,997.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,544.76 : 11,317.65 = 1,998.04 : x
  2. Step 2: Convert to fraction form
    7,544.76/11,317.65 = 1,998.04/x
  3. Step 3: Cross multiply
    7,544.76x = 11,317.65 × 1,998.04
  4. Step 4: Simplify right side
    7,544.76x = 22,613,060.82
  5. Step 5: Solve for x
    x = 22,613,060.82/7,544.76
  6. Step 6: Final answer
    x = 2,997.19

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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.