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Finding the Fourth Proportional to 10,630.10, 14,674.91 and 8,234.73

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Solution

The fourth proportional to 10,630.10, 14,674.91 and 8,234.73 is: 11,368.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,630.10 : 14,674.91 = 8,234.73 : x
  2. Step 2: Convert to fraction form
    10,630.10/14,674.91 = 8,234.73/x
  3. Step 3: Cross multiply
    10,630.10x = 14,674.91 × 8,234.73
  4. Step 4: Simplify right side
    10,630.10x = 120,843,880.45
  5. Step 5: Solve for x
    x = 120,843,880.45/10,630.10
  6. Step 6: Final answer
    x = 11,368.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.