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Finding the Fourth Proportional to 7,190.37, 10,780.16 and 4,843.75

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Solution

The fourth proportional to 7,190.37, 10,780.16 and 4,843.75 is: 7,261.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,190.37 : 10,780.16 = 4,843.75 : x
  2. Step 2: Convert to fraction form
    7,190.37/10,780.16 = 4,843.75/x
  3. Step 3: Cross multiply
    7,190.37x = 10,780.16 × 4,843.75
  4. Step 4: Simplify right side
    7,190.37x = 52,216,409.91
  5. Step 5: Solve for x
    x = 52,216,409.91/7,190.37
  6. Step 6: Final answer
    x = 7,261.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.