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Finding the Fourth Proportional to 10,469.91, 15,709.20 and 4,234.35

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Solution

The fourth proportional to 10,469.91, 15,709.20 and 4,234.35 is: 6,353.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,469.91 : 15,709.20 = 4,234.35 : x
  2. Step 2: Convert to fraction form
    10,469.91/15,709.20 = 4,234.35/x
  3. Step 3: Cross multiply
    10,469.91x = 15,709.20 × 4,234.35
  4. Step 4: Simplify right side
    10,469.91x = 66,518,251.02
  5. Step 5: Solve for x
    x = 66,518,251.02/10,469.91
  6. Step 6: Final answer
    x = 6,353.28

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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.