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Finding the Fourth Proportional to 11,735.30, 16,194.88 and 7,018.67

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Solution

The fourth proportional to 11,735.30, 16,194.88 and 7,018.67 is: 9,685.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,735.30 : 16,194.88 = 7,018.67 : x
  2. Step 2: Convert to fraction form
    11,735.30/16,194.88 = 7,018.67/x
  3. Step 3: Cross multiply
    11,735.30x = 16,194.88 × 7,018.67
  4. Step 4: Simplify right side
    11,735.30x = 113,666,518.41
  5. Step 5: Solve for x
    x = 113,666,518.41/11,735.30
  6. Step 6: Final answer
    x = 9,685.86

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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.