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Finding the Fourth Proportional to 8,234.83, 12,354.87 and 5,104.57

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Solution

The fourth proportional to 8,234.83, 12,354.87 and 5,104.57 is: 7,658.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,234.83 : 12,354.87 = 5,104.57 : x
  2. Step 2: Convert to fraction form
    8,234.83/12,354.87 = 5,104.57/x
  3. Step 3: Cross multiply
    8,234.83x = 12,354.87 × 5,104.57
  4. Step 4: Simplify right side
    8,234.83x = 63,066,298.76
  5. Step 5: Solve for x
    x = 63,066,298.76/8,234.83
  6. Step 6: Final answer
    x = 7,658.48

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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.