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Finding the Fourth Proportional to 7,781.75, 11,647.65 and 4,078.70

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Solution

The fourth proportional to 7,781.75, 11,647.65 and 4,078.70 is: 6,104.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,781.75 : 11,647.65 = 4,078.70 : x
  2. Step 2: Convert to fraction form
    7,781.75/11,647.65 = 4,078.70/x
  3. Step 3: Cross multiply
    7,781.75x = 11,647.65 × 4,078.70
  4. Step 4: Simplify right side
    7,781.75x = 47,507,270.06
  5. Step 5: Solve for x
    x = 47,507,270.06/7,781.75
  6. Step 6: Final answer
    x = 6,104.96

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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.