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Finding the Fourth Proportional to 11,735.65, 17,597.71 and 5,805.69

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Solution

The fourth proportional to 11,735.65, 17,597.71 and 5,805.69 is: 8,705.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,735.65 : 17,597.71 = 5,805.69 : x
  2. Step 2: Convert to fraction form
    11,735.65/17,597.71 = 5,805.69/x
  3. Step 3: Cross multiply
    11,735.65x = 17,597.71 × 5,805.69
  4. Step 4: Simplify right side
    11,735.65x = 102,166,848.97
  5. Step 5: Solve for x
    x = 102,166,848.97/11,735.65
  6. Step 6: Final answer
    x = 8,705.68

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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.