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Finding the Fourth Proportional to 11,497.84, 17,241.24 and 5,255.98

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Solution

The fourth proportional to 11,497.84, 17,241.24 and 5,255.98 is: 7,881.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,497.84 : 17,241.24 = 5,255.98 : x
  2. Step 2: Convert to fraction form
    11,497.84/17,241.24 = 5,255.98/x
  3. Step 3: Cross multiply
    11,497.84x = 17,241.24 × 5,255.98
  4. Step 4: Simplify right side
    11,497.84x = 90,619,612.62
  5. Step 5: Solve for x
    x = 90,619,612.62/11,497.84
  6. Step 6: Final answer
    x = 7,881.45

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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.