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Finding the Fourth Proportional to 7,450.91, 10,273.84 and 5,430.77

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Solution

The fourth proportional to 7,450.91, 10,273.84 and 5,430.77 is: 7,488.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,450.91 : 10,273.84 = 5,430.77 : x
  2. Step 2: Convert to fraction form
    7,450.91/10,273.84 = 5,430.77/x
  3. Step 3: Cross multiply
    7,450.91x = 10,273.84 × 5,430.77
  4. Step 4: Simplify right side
    7,450.91x = 55,794,864.53
  5. Step 5: Solve for x
    x = 55,794,864.53/7,450.91
  6. Step 6: Final answer
    x = 7,488.33

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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.