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Finding the Fourth Proportional to 12,511.33, 17,265.13 and 7,478.33

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Solution

The fourth proportional to 12,511.33, 17,265.13 and 7,478.33 is: 10,319.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,511.33 : 17,265.13 = 7,478.33 : x
  2. Step 2: Convert to fraction form
    12,511.33/17,265.13 = 7,478.33/x
  3. Step 3: Cross multiply
    12,511.33x = 17,265.13 × 7,478.33
  4. Step 4: Simplify right side
    12,511.33x = 129,114,234.61
  5. Step 5: Solve for x
    x = 129,114,234.61/12,511.33
  6. Step 6: Final answer
    x = 10,319.79

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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.