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Finding the Fourth Proportional to 7,142.50, 9,856.11 and 4,158.46

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Solution

The fourth proportional to 7,142.50, 9,856.11 and 4,158.46 is: 5,738.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,142.50 : 9,856.11 = 4,158.46 : x
  2. Step 2: Convert to fraction form
    7,142.50/9,856.11 = 4,158.46/x
  3. Step 3: Cross multiply
    7,142.50x = 9,856.11 × 4,158.46
  4. Step 4: Simplify right side
    7,142.50x = 40,986,239.19
  5. Step 5: Solve for x
    x = 40,986,239.19/7,142.50
  6. Step 6: Final answer
    x = 5,738.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.