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Finding the Fourth Proportional to 6,704.16, 10,056.75 and 1,773.67

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Solution

The fourth proportional to 6,704.16, 10,056.75 and 1,773.67 is: 2,660.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,704.16 : 10,056.75 = 1,773.67 : x
  2. Step 2: Convert to fraction form
    6,704.16/10,056.75 = 1,773.67/x
  3. Step 3: Cross multiply
    6,704.16x = 10,056.75 × 1,773.67
  4. Step 4: Simplify right side
    6,704.16x = 17,837,355.77
  5. Step 5: Solve for x
    x = 17,837,355.77/6,704.16
  6. Step 6: Final answer
    x = 2,660.64

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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.