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Finding the Fourth Proportional to 7,297.50, 10,942.33 and 2,298.94

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Solution

The fourth proportional to 7,297.50, 10,942.33 and 2,298.94 is: 3,447.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,297.50 : 10,942.33 = 2,298.94 : x
  2. Step 2: Convert to fraction form
    7,297.50/10,942.33 = 2,298.94/x
  3. Step 3: Cross multiply
    7,297.50x = 10,942.33 × 2,298.94
  4. Step 4: Simplify right side
    7,297.50x = 25,155,693.92
  5. Step 5: Solve for x
    x = 25,155,693.92/7,297.50
  6. Step 6: Final answer
    x = 3,447.17

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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.