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Finding the Fourth Proportional to 7,768.93, 11,657.50 and 3,386.73

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Solution

The fourth proportional to 7,768.93, 11,657.50 and 3,386.73 is: 5,081.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,768.93 : 11,657.50 = 3,386.73 : x
  2. Step 2: Convert to fraction form
    7,768.93/11,657.50 = 3,386.73/x
  3. Step 3: Cross multiply
    7,768.93x = 11,657.50 × 3,386.73
  4. Step 4: Simplify right side
    7,768.93x = 39,480,804.98
  5. Step 5: Solve for x
    x = 39,480,804.98/7,768.93
  6. Step 6: Final answer
    x = 5,081.88

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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.