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Finding the Fourth Proportional to 8,420.83, 12,635.80 and 3,493.87

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Solution

The fourth proportional to 8,420.83, 12,635.80 and 3,493.87 is: 5,242.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,420.83 : 12,635.80 = 3,493.87 : x
  2. Step 2: Convert to fraction form
    8,420.83/12,635.80 = 3,493.87/x
  3. Step 3: Cross multiply
    8,420.83x = 12,635.80 × 3,493.87
  4. Step 4: Simplify right side
    8,420.83x = 44,147,802.22
  5. Step 5: Solve for x
    x = 44,147,802.22/8,420.83
  6. Step 6: Final answer
    x = 5,242.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.