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Finding the Fourth Proportional to 11,493.42, 17,241.48 and 4,098.93

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Solution

The fourth proportional to 11,493.42, 17,241.48 and 4,098.93 is: 6,148.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,493.42 : 17,241.48 = 4,098.93 : x
  2. Step 2: Convert to fraction form
    11,493.42/17,241.48 = 4,098.93/x
  3. Step 3: Cross multiply
    11,493.42x = 17,241.48 × 4,098.93
  4. Step 4: Simplify right side
    11,493.42x = 70,671,619.62
  5. Step 5: Solve for x
    x = 70,671,619.62/11,493.42
  6. Step 6: Final answer
    x = 6,148.88

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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.