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Finding the Fourth Proportional to 8,406.89, 12,599.00 and 3,209.93

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Solution

The fourth proportional to 8,406.89, 12,599.00 and 3,209.93 is: 4,810.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,406.89 : 12,599.00 = 3,209.93 : x
  2. Step 2: Convert to fraction form
    8,406.89/12,599.00 = 3,209.93/x
  3. Step 3: Cross multiply
    8,406.89x = 12,599.00 × 3,209.93
  4. Step 4: Simplify right side
    8,406.89x = 40,441,892.02
  5. Step 5: Solve for x
    x = 40,441,892.02/8,406.89
  6. Step 6: Final answer
    x = 4,810.57

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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.