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Finding the Fourth Proportional to 7,707.96, 11,564.57 and 2,778.03

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Solution

The fourth proportional to 7,707.96, 11,564.57 and 2,778.03 is: 4,167.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,707.96 : 11,564.57 = 2,778.03 : x
  2. Step 2: Convert to fraction form
    7,707.96/11,564.57 = 2,778.03/x
  3. Step 3: Cross multiply
    7,707.96x = 11,564.57 × 2,778.03
  4. Step 4: Simplify right side
    7,707.96x = 32,126,729.34
  5. Step 5: Solve for x
    x = 32,126,729.34/7,707.96
  6. Step 6: Final answer
    x = 4,167.99

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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.