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Finding the Fourth Proportional to 7,450.83, 10,282.11 and 4,047.82

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Solution

The fourth proportional to 7,450.83, 10,282.11 and 4,047.82 is: 5,585.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,450.83 : 10,282.11 = 4,047.82 : x
  2. Step 2: Convert to fraction form
    7,450.83/10,282.11 = 4,047.82/x
  3. Step 3: Cross multiply
    7,450.83x = 10,282.11 × 4,047.82
  4. Step 4: Simplify right side
    7,450.83x = 41,620,130.50
  5. Step 5: Solve for x
    x = 41,620,130.50/7,450.83
  6. Step 6: Final answer
    x = 5,585.97

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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.