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Finding the Fourth Proportional to 11,605.98, 17,398.19 and 4,208.46

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Solution

The fourth proportional to 11,605.98, 17,398.19 and 4,208.46 is: 6,308.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,605.98 : 17,398.19 = 4,208.46 : x
  2. Step 2: Convert to fraction form
    11,605.98/17,398.19 = 4,208.46/x
  3. Step 3: Cross multiply
    11,605.98x = 17,398.19 × 4,208.46
  4. Step 4: Simplify right side
    11,605.98x = 73,219,531.97
  5. Step 5: Solve for x
    x = 73,219,531.97/11,605.98
  6. Step 6: Final answer
    x = 6,308.77

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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.