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Finding the Fourth Proportional to 7,772.48, 11,657.01 and 3,091.62

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Solution

The fourth proportional to 7,772.48, 11,657.01 and 3,091.62 is: 4,636.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,772.48 : 11,657.01 = 3,091.62 : x
  2. Step 2: Convert to fraction form
    7,772.48/11,657.01 = 3,091.62/x
  3. Step 3: Cross multiply
    7,772.48x = 11,657.01 × 3,091.62
  4. Step 4: Simplify right side
    7,772.48x = 36,039,034.99
  5. Step 5: Solve for x
    x = 36,039,034.99/7,772.48
  6. Step 6: Final answer
    x = 4,636.75

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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.