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Finding the Fourth Proportional to 7,381.88, 10,186.38 and 4,237.40

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Solution

The fourth proportional to 7,381.88, 10,186.38 and 4,237.40 is: 5,847.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,381.88 : 10,186.38 = 4,237.40 : x
  2. Step 2: Convert to fraction form
    7,381.88/10,186.38 = 4,237.40/x
  3. Step 3: Cross multiply
    7,381.88x = 10,186.38 × 4,237.40
  4. Step 4: Simplify right side
    7,381.88x = 43,163,766.61
  5. Step 5: Solve for x
    x = 43,163,766.61/7,381.88
  6. Step 6: Final answer
    x = 5,847.26

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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.