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Finding the Fourth Proportional to 8,480.70, 12,714.37 and 4,096.98

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Solution

The fourth proportional to 8,480.70, 12,714.37 and 4,096.98 is: 6,142.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,480.70 : 12,714.37 = 4,096.98 : x
  2. Step 2: Convert to fraction form
    8,480.70/12,714.37 = 4,096.98/x
  3. Step 3: Cross multiply
    8,480.70x = 12,714.37 × 4,096.98
  4. Step 4: Simplify right side
    8,480.70x = 52,090,509.36
  5. Step 5: Solve for x
    x = 52,090,509.36/8,480.70
  6. Step 6: Final answer
    x = 6,142.24

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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.