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Finding the Fourth Proportional to 8,464.96, 11,682.37 and 4,928.50

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Solution

The fourth proportional to 8,464.96, 11,682.37 and 4,928.50 is: 6,801.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,464.96 : 11,682.37 = 4,928.50 : x
  2. Step 2: Convert to fraction form
    8,464.96/11,682.37 = 4,928.50/x
  3. Step 3: Cross multiply
    8,464.96x = 11,682.37 × 4,928.50
  4. Step 4: Simplify right side
    8,464.96x = 57,576,560.55
  5. Step 5: Solve for x
    x = 57,576,560.55/8,464.96
  6. Step 6: Final answer
    x = 6,801.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.