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Finding the Fourth Proportional to 11,630.64, 16,050.12 and 6,325.34

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Solution

The fourth proportional to 11,630.64, 16,050.12 and 6,325.34 is: 8,728.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,630.64 : 16,050.12 = 6,325.34 : x
  2. Step 2: Convert to fraction form
    11,630.64/16,050.12 = 6,325.34/x
  3. Step 3: Cross multiply
    11,630.64x = 16,050.12 × 6,325.34
  4. Step 4: Simplify right side
    11,630.64x = 101,522,385.79
  5. Step 5: Solve for x
    x = 101,522,385.79/11,630.64
  6. Step 6: Final answer
    x = 8,728.87

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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.