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Finding the Fourth Proportional to 7,157.28, 10,732.08 and 4,692

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Solution

The fourth proportional to 7,157.28, 10,732.08 and 4,692 is: 7,035.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,157.28 : 10,732.08 = 4,692 : x
  2. Step 2: Convert to fraction form
    7,157.28/10,732.08 = 4,692/x
  3. Step 3: Cross multiply
    7,157.28x = 10,732.08 × 4,692
  4. Step 4: Simplify right side
    7,157.28x = 50,354,919.36
  5. Step 5: Solve for x
    x = 50,354,919.36/7,157.28
  6. Step 6: Final answer
    x = 7,035.48

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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.