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Finding the Fourth Proportional to 6,147.16, 8,483.10 and 3,493.96

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Solution

The fourth proportional to 6,147.16, 8,483.10 and 3,493.96 is: 4,821.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,147.16 : 8,483.10 = 3,493.96 : x
  2. Step 2: Convert to fraction form
    6,147.16/8,483.10 = 3,493.96/x
  3. Step 3: Cross multiply
    6,147.16x = 8,483.10 × 3,493.96
  4. Step 4: Simplify right side
    6,147.16x = 29,639,612.08
  5. Step 5: Solve for x
    x = 29,639,612.08/6,147.16
  6. Step 6: Final answer
    x = 4,821.68

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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.