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Finding the Fourth Proportional to 11,630.60, 16,049.76 and 6,325.41

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Solution

The fourth proportional to 11,630.60, 16,049.76 and 6,325.41 is: 8,728.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,630.60 : 16,049.76 = 6,325.41 : x
  2. Step 2: Convert to fraction form
    11,630.60/16,049.76 = 6,325.41/x
  3. Step 3: Cross multiply
    11,630.60x = 16,049.76 × 6,325.41
  4. Step 4: Simplify right side
    11,630.60x = 101,521,312.40
  5. Step 5: Solve for x
    x = 101,521,312.40/11,630.60
  6. Step 6: Final answer
    x = 8,728.82

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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.