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Finding the Fourth Proportional to 7,298.30, 10,933.50 and 4,825.82

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Solution

The fourth proportional to 7,298.30, 10,933.50 and 4,825.82 is: 7,229.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,298.30 : 10,933.50 = 4,825.82 : x
  2. Step 2: Convert to fraction form
    7,298.30/10,933.50 = 4,825.82/x
  3. Step 3: Cross multiply
    7,298.30x = 10,933.50 × 4,825.82
  4. Step 4: Simplify right side
    7,298.30x = 52,763,102.97
  5. Step 5: Solve for x
    x = 52,763,102.97/7,298.30
  6. Step 6: Final answer
    x = 7,229.51

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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.