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Finding the Fourth Proportional to 8,305.07, 12,451.02 and 4,142.91

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Solution

The fourth proportional to 8,305.07, 12,451.02 and 4,142.91 is: 6,211.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,305.07 : 12,451.02 = 4,142.91 : x
  2. Step 2: Convert to fraction form
    8,305.07/12,451.02 = 4,142.91/x
  3. Step 3: Cross multiply
    8,305.07x = 12,451.02 × 4,142.91
  4. Step 4: Simplify right side
    8,305.07x = 51,583,486.42
  5. Step 5: Solve for x
    x = 51,583,486.42/8,305.07
  6. Step 6: Final answer
    x = 6,211.09

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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.