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Finding the Fourth Proportional to 8,429.98, 12,643.04 and 2,505.64

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Solution

The fourth proportional to 8,429.98, 12,643.04 and 2,505.64 is: 3,757.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,429.98 : 12,643.04 = 2,505.64 : x
  2. Step 2: Convert to fraction form
    8,429.98/12,643.04 = 2,505.64/x
  3. Step 3: Cross multiply
    8,429.98x = 12,643.04 × 2,505.64
  4. Step 4: Simplify right side
    8,429.98x = 31,678,906.75
  5. Step 5: Solve for x
    x = 31,678,906.75/8,429.98
  6. Step 6: Final answer
    x = 3,757.89

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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.