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Finding the Fourth Proportional to 7,157.10, 10,740.18 and 3,872.46

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Solution

The fourth proportional to 7,157.10, 10,740.18 and 3,872.46 is: 5,811.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,157.10 : 10,740.18 = 3,872.46 : x
  2. Step 2: Convert to fraction form
    7,157.10/10,740.18 = 3,872.46/x
  3. Step 3: Cross multiply
    7,157.10x = 10,740.18 × 3,872.46
  4. Step 4: Simplify right side
    7,157.10x = 41,590,917.44
  5. Step 5: Solve for x
    x = 41,590,917.44/7,157.10
  6. Step 6: Final answer
    x = 5,811.14

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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.