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Finding the Fourth Proportional to 7,704.10, 11,549.67 and 3,998.35

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Solution

The fourth proportional to 7,704.10, 11,549.67 and 3,998.35 is: 5,994.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,704.10 : 11,549.67 = 3,998.35 : x
  2. Step 2: Convert to fraction form
    7,704.10/11,549.67 = 3,998.35/x
  3. Step 3: Cross multiply
    7,704.10x = 11,549.67 × 3,998.35
  4. Step 4: Simplify right side
    7,704.10x = 46,179,623.04
  5. Step 5: Solve for x
    x = 46,179,623.04/7,704.10
  6. Step 6: Final answer
    x = 5,994.16

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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.