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Finding the Fourth Proportional to 8,402.70, 11,596.83 and 4,819.06

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Solution

The fourth proportional to 8,402.70, 11,596.83 and 4,819.06 is: 6,650.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,402.70 : 11,596.83 = 4,819.06 : x
  2. Step 2: Convert to fraction form
    8,402.70/11,596.83 = 4,819.06/x
  3. Step 3: Cross multiply
    8,402.70x = 11,596.83 × 4,819.06
  4. Step 4: Simplify right side
    8,402.70x = 55,885,819.58
  5. Step 5: Solve for x
    x = 55,885,819.58/8,402.70
  6. Step 6: Final answer
    x = 6,650.94

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