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Finding the Fourth Proportional to 12,511.47, 17,265.82 and 6,846.23

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Solution

The fourth proportional to 12,511.47, 17,265.82 and 6,846.23 is: 9,447.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,511.47 : 17,265.82 = 6,846.23 : x
  2. Step 2: Convert to fraction form
    12,511.47/17,265.82 = 6,846.23/x
  3. Step 3: Cross multiply
    12,511.47x = 17,265.82 × 6,846.23
  4. Step 4: Simplify right side
    12,511.47x = 118,205,774.86
  5. Step 5: Solve for x
    x = 118,205,774.86/12,511.47
  6. Step 6: Final answer
    x = 9,447.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.