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Finding the Fourth Proportional to 10,941.33, 16,398.15 and 6,991.06

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Solution

The fourth proportional to 10,941.33, 16,398.15 and 6,991.06 is: 10,477.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,941.33 : 16,398.15 = 6,991.06 : x
  2. Step 2: Convert to fraction form
    10,941.33/16,398.15 = 6,991.06/x
  3. Step 3: Cross multiply
    10,941.33x = 16,398.15 × 6,991.06
  4. Step 4: Simplify right side
    10,941.33x = 114,640,414.07
  5. Step 5: Solve for x
    x = 114,640,414.07/10,941.33
  6. Step 6: Final answer
    x = 10,477.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.