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Finding the Fourth Proportional to 11,631.60, 17,447.28 and 4,704.48

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Solution

The fourth proportional to 11,631.60, 17,447.28 and 4,704.48 is: 7,056.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,631.60 : 17,447.28 = 4,704.48 : x
  2. Step 2: Convert to fraction form
    11,631.60/17,447.28 = 4,704.48/x
  3. Step 3: Cross multiply
    11,631.60x = 17,447.28 × 4,704.48
  4. Step 4: Simplify right side
    11,631.60x = 82,080,379.81
  5. Step 5: Solve for x
    x = 82,080,379.81/11,631.60
  6. Step 6: Final answer
    x = 7,056.67

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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.