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Finding the Fourth Proportional to 11,675.98, 16,113.21 and 6,640.93

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Solution

The fourth proportional to 11,675.98, 16,113.21 and 6,640.93 is: 9,164.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,675.98 : 16,113.21 = 6,640.93 : x
  2. Step 2: Convert to fraction form
    11,675.98/16,113.21 = 6,640.93/x
  3. Step 3: Cross multiply
    11,675.98x = 16,113.21 × 6,640.93
  4. Step 4: Simplify right side
    11,675.98x = 107,006,696.15
  5. Step 5: Solve for x
    x = 107,006,696.15/11,675.98
  6. Step 6: Final answer
    x = 9,164.68

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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.