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Finding the Fourth Proportional to 7,142.50, 9,853.37 and 4,625.42

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Solution

The fourth proportional to 7,142.50, 9,853.37 and 4,625.42 is: 6,380.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,142.50 : 9,853.37 = 4,625.42 : x
  2. Step 2: Convert to fraction form
    7,142.50/9,853.37 = 4,625.42/x
  3. Step 3: Cross multiply
    7,142.50x = 9,853.37 × 4,625.42
  4. Step 4: Simplify right side
    7,142.50x = 45,575,937.72
  5. Step 5: Solve for x
    x = 45,575,937.72/7,142.50
  6. Step 6: Final answer
    x = 6,380.95

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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.