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Finding the Fourth Proportional to 11,946.33, 16,484.00 and 6,641.01

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Solution

The fourth proportional to 11,946.33, 16,484.00 and 6,641.01 is: 9,163.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,946.33 : 16,484.00 = 6,641.01 : x
  2. Step 2: Convert to fraction form
    11,946.33/16,484.00 = 6,641.01/x
  3. Step 3: Cross multiply
    11,946.33x = 16,484.00 × 6,641.01
  4. Step 4: Simplify right side
    11,946.33x = 109,470,375.63
  5. Step 5: Solve for x
    x = 109,470,375.63/11,946.33
  6. Step 6: Final answer
    x = 9,163.52

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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.