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Finding the Fourth Proportional to 7,378.98, 10,186.41 and 5,392.46

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Solution

The fourth proportional to 7,378.98, 10,186.41 and 5,392.46 is: 7,444.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,378.98 : 10,186.41 = 5,392.46 : x
  2. Step 2: Convert to fraction form
    7,378.98/10,186.41 = 5,392.46/x
  3. Step 3: Cross multiply
    7,378.98x = 10,186.41 × 5,392.46
  4. Step 4: Simplify right side
    7,378.98x = 54,929,757.54
  5. Step 5: Solve for x
    x = 54,929,757.54/7,378.98
  6. Step 6: Final answer
    x = 7,444.09

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