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Finding the Fourth Proportional to 8,466, 11,683.44 and 4,928.64

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Solution

The fourth proportional to 8,466, 11,683.44 and 4,928.64 is: 6,801.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,466 : 11,683.44 = 4,928.64 : x
  2. Step 2: Convert to fraction form
    8,466/11,683.44 = 4,928.64/x
  3. Step 3: Cross multiply
    8,466x = 11,683.44 × 4,928.64
  4. Step 4: Simplify right side
    8,466x = 57,583,469.72
  5. Step 5: Solve for x
    x = 57,583,469.72/8,466
  6. Step 6: Final answer
    x = 6,801.73

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Why These Related Problems?

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