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Finding the Fourth Proportional to 8,353.50, 12,521.90 and 4,180.77

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Solution

The fourth proportional to 8,353.50, 12,521.90 and 4,180.77 is: 6,266.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,353.50 : 12,521.90 = 4,180.77 : x
  2. Step 2: Convert to fraction form
    8,353.50/12,521.90 = 4,180.77/x
  3. Step 3: Cross multiply
    8,353.50x = 12,521.90 × 4,180.77
  4. Step 4: Simplify right side
    8,353.50x = 52,351,162.96
  5. Step 5: Solve for x
    x = 52,351,162.96/8,353.50
  6. Step 6: Final answer
    x = 6,266.97

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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.