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Finding the Fourth Proportional to 8,383.02, 12,568.32 and 4,219.98

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Solution

The fourth proportional to 8,383.02, 12,568.32 and 4,219.98 is: 6,326.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,383.02 : 12,568.32 = 4,219.98 : x
  2. Step 2: Convert to fraction form
    8,383.02/12,568.32 = 4,219.98/x
  3. Step 3: Cross multiply
    8,383.02x = 12,568.32 × 4,219.98
  4. Step 4: Simplify right side
    8,383.02x = 53,038,059.03
  5. Step 5: Solve for x
    x = 53,038,059.03/8,383.02
  6. Step 6: Final answer
    x = 6,326.84

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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.