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Finding the Fourth Proportional to 7,225.74, 10,834.20 and 3,006.36

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Solution

The fourth proportional to 7,225.74, 10,834.20 and 3,006.36 is: 4,507.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,225.74 : 10,834.20 = 3,006.36 : x
  2. Step 2: Convert to fraction form
    7,225.74/10,834.20 = 3,006.36/x
  3. Step 3: Cross multiply
    7,225.74x = 10,834.20 × 3,006.36
  4. Step 4: Simplify right side
    7,225.74x = 32,571,505.51
  5. Step 5: Solve for x
    x = 32,571,505.51/7,225.74
  6. Step 6: Final answer
    x = 4,507.71

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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.