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Finding the Fourth Proportional to 7,224.36, 10,834.65 and 2,029.02

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Solution

The fourth proportional to 7,224.36, 10,834.65 and 2,029.02 is: 3,043.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,224.36 : 10,834.65 = 2,029.02 : x
  2. Step 2: Convert to fraction form
    7,224.36/10,834.65 = 2,029.02/x
  3. Step 3: Cross multiply
    7,224.36x = 10,834.65 × 2,029.02
  4. Step 4: Simplify right side
    7,224.36x = 21,983,721.54
  5. Step 5: Solve for x
    x = 21,983,721.54/7,224.36
  6. Step 6: Final answer
    x = 3,043.00

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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.