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Finding the Fourth Proportional to 7,450.40, 10,273.12 and 4,758

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Solution

The fourth proportional to 7,450.40, 10,273.12 and 4,758 is: 6,560.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,450.40 : 10,273.12 = 4,758 : x
  2. Step 2: Convert to fraction form
    7,450.40/10,273.12 = 4,758/x
  3. Step 3: Cross multiply
    7,450.40x = 10,273.12 × 4,758
  4. Step 4: Simplify right side
    7,450.40x = 48,879,504.96
  5. Step 5: Solve for x
    x = 48,879,504.96/7,450.40
  6. Step 6: Final answer
    x = 6,560.66

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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.