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Finding the Fourth Proportional to 8,506.20, 12,735.60 and 4,337.20

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Solution

The fourth proportional to 8,506.20, 12,735.60 and 4,337.20 is: 6,493.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,506.20 : 12,735.60 = 4,337.20 : x
  2. Step 2: Convert to fraction form
    8,506.20/12,735.60 = 4,337.20/x
  3. Step 3: Cross multiply
    8,506.20x = 12,735.60 × 4,337.20
  4. Step 4: Simplify right side
    8,506.20x = 55,236,844.32
  5. Step 5: Solve for x
    x = 55,236,844.32/8,506.20
  6. Step 6: Final answer
    x = 6,493.72

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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.