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Finding the Fourth Proportional to 8,494, 12,745.26 and 4,056.64

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Solution

The fourth proportional to 8,494, 12,745.26 and 4,056.64 is: 6,086.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,494 : 12,745.26 = 4,056.64 : x
  2. Step 2: Convert to fraction form
    8,494/12,745.26 = 4,056.64/x
  3. Step 3: Cross multiply
    8,494x = 12,745.26 × 4,056.64
  4. Step 4: Simplify right side
    8,494x = 51,702,931.53
  5. Step 5: Solve for x
    x = 51,702,931.53/8,494
  6. Step 6: Final answer
    x = 6,086.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.