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Finding the Fourth Proportional to 11,605.75, 17,411.51 and 3,397.75

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Solution

The fourth proportional to 11,605.75, 17,411.51 and 3,397.75 is: 5,097.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,605.75 : 17,411.51 = 3,397.75 : x
  2. Step 2: Convert to fraction form
    11,605.75/17,411.51 = 3,397.75/x
  3. Step 3: Cross multiply
    11,605.75x = 17,411.51 × 3,397.75
  4. Step 4: Simplify right side
    11,605.75x = 59,159,958.10
  5. Step 5: Solve for x
    x = 59,159,958.10/11,605.75
  6. Step 6: Final answer
    x = 5,097.47

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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.