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Finding the Fourth Proportional to 11,601.70, 17,401.64 and 4,106.00

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Solution

The fourth proportional to 11,601.70, 17,401.64 and 4,106.00 is: 6,158.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,601.70 : 17,401.64 = 4,106.00 : x
  2. Step 2: Convert to fraction form
    11,601.70/17,401.64 = 4,106.00/x
  3. Step 3: Cross multiply
    11,601.70x = 17,401.64 × 4,106.00
  4. Step 4: Simplify right side
    11,601.70x = 71,451,156.81
  5. Step 5: Solve for x
    x = 71,451,156.81/11,601.70
  6. Step 6: Final answer
    x = 6,158.68

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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.