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Finding the Fourth Proportional to 7,157.79, 10,735.44 and 1,892.86

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Solution

The fourth proportional to 7,157.79, 10,735.44 and 1,892.86 is: 2,838.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,157.79 : 10,735.44 = 1,892.86 : x
  2. Step 2: Convert to fraction form
    7,157.79/10,735.44 = 1,892.86/x
  3. Step 3: Cross multiply
    7,157.79x = 10,735.44 × 1,892.86
  4. Step 4: Simplify right side
    7,157.79x = 20,320,631.28
  5. Step 5: Solve for x
    x = 20,320,631.28/7,157.79
  6. Step 6: Final answer
    x = 2,838.95

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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.