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Finding the Fourth Proportional to 11,946.46, 16,484.93 and 6,640.76

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Solution

The fourth proportional to 11,946.46, 16,484.93 and 6,640.76 is: 9,163.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,946.46 : 16,484.93 = 6,640.76 : x
  2. Step 2: Convert to fraction form
    11,946.46/16,484.93 = 6,640.76/x
  3. Step 3: Cross multiply
    11,946.46x = 16,484.93 × 6,640.76
  4. Step 4: Simplify right side
    11,946.46x = 109,472,463.75
  5. Step 5: Solve for x
    x = 109,472,463.75/11,946.46
  6. Step 6: Final answer
    x = 9,163.59

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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.