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Finding the Fourth Proportional to 11,645, 17,468.08 and 3,326.24

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Solution

The fourth proportional to 11,645, 17,468.08 and 3,326.24 is: 4,989.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,645 : 17,468.08 = 3,326.24 : x
  2. Step 2: Convert to fraction form
    11,645/17,468.08 = 3,326.24/x
  3. Step 3: Cross multiply
    11,645x = 17,468.08 × 3,326.24
  4. Step 4: Simplify right side
    11,645x = 58,103,026.42
  5. Step 5: Solve for x
    x = 58,103,026.42/11,645
  6. Step 6: Final answer
    x = 4,989.53

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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.