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Finding the Fourth Proportional to 11,531.88, 17,298 and 4,511.52

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Solution

The fourth proportional to 11,531.88, 17,298 and 4,511.52 is: 6,767.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,531.88 : 17,298 = 4,511.52 : x
  2. Step 2: Convert to fraction form
    11,531.88/17,298 = 4,511.52/x
  3. Step 3: Cross multiply
    11,531.88x = 17,298 × 4,511.52
  4. Step 4: Simplify right side
    11,531.88x = 78,040,272.96
  5. Step 5: Solve for x
    x = 78,040,272.96/11,531.88
  6. Step 6: Final answer
    x = 6,767.35

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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.