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Finding the Fourth Proportional to 11,704.81, 16,154.13 and 6,670.85

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Solution

The fourth proportional to 11,704.81, 16,154.13 and 6,670.85 is: 9,206.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,704.81 : 16,154.13 = 6,670.85 : x
  2. Step 2: Convert to fraction form
    11,704.81/16,154.13 = 6,670.85/x
  3. Step 3: Cross multiply
    11,704.81x = 16,154.13 × 6,670.85
  4. Step 4: Simplify right side
    11,704.81x = 107,761,697.34
  5. Step 5: Solve for x
    x = 107,761,697.34/11,704.81
  6. Step 6: Final answer
    x = 9,206.62

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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.