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Finding the Fourth Proportional to 7,745.64, 11,615.96 and 3,064.79

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Solution

The fourth proportional to 7,745.64, 11,615.96 and 3,064.79 is: 4,596.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,745.64 : 11,615.96 = 3,064.79 : x
  2. Step 2: Convert to fraction form
    7,745.64/11,615.96 = 3,064.79/x
  3. Step 3: Cross multiply
    7,745.64x = 11,615.96 × 3,064.79
  4. Step 4: Simplify right side
    7,745.64x = 35,600,404.64
  5. Step 5: Solve for x
    x = 35,600,404.64/7,745.64
  6. Step 6: Final answer
    x = 4,596.19

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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.