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Finding the Fourth Proportional to 7,544.82, 11,316 and 1,998.52

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Solution

The fourth proportional to 7,544.82, 11,316 and 1,998.52 is: 2,997.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,544.82 : 11,316 = 1,998.52 : x
  2. Step 2: Convert to fraction form
    7,544.82/11,316 = 1,998.52/x
  3. Step 3: Cross multiply
    7,544.82x = 11,316 × 1,998.52
  4. Step 4: Simplify right side
    7,544.82x = 22,615,252.32
  5. Step 5: Solve for x
    x = 22,615,252.32/7,544.82
  6. Step 6: Final answer
    x = 2,997.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.