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Finding the Fourth Proportional to 8,484.75, 12,722 and 3,803.91

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Solution

The fourth proportional to 8,484.75, 12,722 and 3,803.91 is: 5,703.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,484.75 : 12,722 = 3,803.91 : x
  2. Step 2: Convert to fraction form
    8,484.75/12,722 = 3,803.91/x
  3. Step 3: Cross multiply
    8,484.75x = 12,722 × 3,803.91
  4. Step 4: Simplify right side
    8,484.75x = 48,393,279.41
  5. Step 5: Solve for x
    x = 48,393,279.41/8,484.75
  6. Step 6: Final answer
    x = 5,703.56

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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.