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Finding the Fourth Proportional to 8,430.49, 12,645.87 and 3,808.09

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Solution

The fourth proportional to 8,430.49, 12,645.87 and 3,808.09 is: 5,712.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,430.49 : 12,645.87 = 3,808.09 : x
  2. Step 2: Convert to fraction form
    8,430.49/12,645.87 = 3,808.09/x
  3. Step 3: Cross multiply
    8,430.49x = 12,645.87 × 3,808.09
  4. Step 4: Simplify right side
    8,430.49x = 48,156,611.09
  5. Step 5: Solve for x
    x = 48,156,611.09/8,430.49
  6. Step 6: Final answer
    x = 5,712.20

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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.