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Finding the Fourth Proportional to 6,830.98, 10,245.45 and 1,900.11

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Solution

The fourth proportional to 6,830.98, 10,245.45 and 1,900.11 is: 2,849.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,830.98 : 10,245.45 = 1,900.11 : x
  2. Step 2: Convert to fraction form
    6,830.98/10,245.45 = 1,900.11/x
  3. Step 3: Cross multiply
    6,830.98x = 10,245.45 × 1,900.11
  4. Step 4: Simplify right side
    6,830.98x = 19,467,482.00
  5. Step 5: Solve for x
    x = 19,467,482.00/6,830.98
  6. Step 6: Final answer
    x = 2,849.88

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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.