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Finding the Fourth Proportional to 7,777.08, 11,667 and 2,968.38

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Solution

The fourth proportional to 7,777.08, 11,667 and 2,968.38 is: 4,453.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,777.08 : 11,667 = 2,968.38 : x
  2. Step 2: Convert to fraction form
    7,777.08/11,667 = 2,968.38/x
  3. Step 3: Cross multiply
    7,777.08x = 11,667 × 2,968.38
  4. Step 4: Simplify right side
    7,777.08x = 34,632,089.46
  5. Step 5: Solve for x
    x = 34,632,089.46/7,777.08
  6. Step 6: Final answer
    x = 4,453.10

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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.