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Finding the Fourth Proportional to 7,224.34, 10,835.30 and 2,029

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Solution

The fourth proportional to 7,224.34, 10,835.30 and 2,029 is: 3,043.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,224.34 : 10,835.30 = 2,029 : x
  2. Step 2: Convert to fraction form
    7,224.34/10,835.30 = 2,029/x
  3. Step 3: Cross multiply
    7,224.34x = 10,835.30 × 2,029
  4. Step 4: Simplify right side
    7,224.34x = 21,984,823.70
  5. Step 5: Solve for x
    x = 21,984,823.70/7,224.34
  6. Step 6: Final answer
    x = 3,043.16

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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.