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Finding the Fourth Proportional to 11,738.90, 16,198.88 and 6,703.32

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Solution

The fourth proportional to 11,738.90, 16,198.88 and 6,703.32 is: 9,250.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,738.90 : 16,198.88 = 6,703.32 : x
  2. Step 2: Convert to fraction form
    11,738.90/16,198.88 = 6,703.32/x
  3. Step 3: Cross multiply
    11,738.90x = 16,198.88 × 6,703.32
  4. Step 4: Simplify right side
    11,738.90x = 108,586,242.77
  5. Step 5: Solve for x
    x = 108,586,242.77/11,738.90
  6. Step 6: Final answer
    x = 9,250.12

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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.