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Finding the Fourth Proportional to 7,704.99, 11,548.08 and 4,186.62

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Solution

The fourth proportional to 7,704.99, 11,548.08 and 4,186.62 is: 6,274.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,704.99 : 11,548.08 = 4,186.62 : x
  2. Step 2: Convert to fraction form
    7,704.99/11,548.08 = 4,186.62/x
  3. Step 3: Cross multiply
    7,704.99x = 11,548.08 × 4,186.62
  4. Step 4: Simplify right side
    7,704.99x = 48,347,422.69
  5. Step 5: Solve for x
    x = 48,347,422.69/7,704.99
  6. Step 6: Final answer
    x = 6,274.82

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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.