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Finding the Fourth Proportional to 7,674.98, 11,520.36 and 4,760.19

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Solution

The fourth proportional to 7,674.98, 11,520.36 and 4,760.19 is: 7,145.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,674.98 : 11,520.36 = 4,760.19 : x
  2. Step 2: Convert to fraction form
    7,674.98/11,520.36 = 4,760.19/x
  3. Step 3: Cross multiply
    7,674.98x = 11,520.36 × 4,760.19
  4. Step 4: Simplify right side
    7,674.98x = 54,839,102.47
  5. Step 5: Solve for x
    x = 54,839,102.47/7,674.98
  6. Step 6: Final answer
    x = 7,145.18

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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.