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Finding the Fourth Proportional to 11,658.42, 17,490.06 and 3,866.67

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Solution

The fourth proportional to 11,658.42, 17,490.06 and 3,866.67 is: 5,800.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,658.42 : 17,490.06 = 3,866.67 : x
  2. Step 2: Convert to fraction form
    11,658.42/17,490.06 = 3,866.67/x
  3. Step 3: Cross multiply
    11,658.42x = 17,490.06 × 3,866.67
  4. Step 4: Simplify right side
    11,658.42x = 67,628,290.30
  5. Step 5: Solve for x
    x = 67,628,290.30/11,658.42
  6. Step 6: Final answer
    x = 5,800.81

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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.