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Finding the Fourth Proportional to 7,157.56, 10,723.02 and 4,683.64

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Solution

The fourth proportional to 7,157.56, 10,723.02 and 4,683.64 is: 7,016.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,157.56 : 10,723.02 = 4,683.64 : x
  2. Step 2: Convert to fraction form
    7,157.56/10,723.02 = 4,683.64/x
  3. Step 3: Cross multiply
    7,157.56x = 10,723.02 × 4,683.64
  4. Step 4: Simplify right side
    7,157.56x = 50,222,765.39
  5. Step 5: Solve for x
    x = 50,222,765.39/7,157.56
  6. Step 6: Final answer
    x = 7,016.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.