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Finding the Fourth Proportional to 7,224.86, 10,835.40 and 2,029.52

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Solution

The fourth proportional to 7,224.86, 10,835.40 and 2,029.52 is: 3,043.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,224.86 : 10,835.40 = 2,029.52 : x
  2. Step 2: Convert to fraction form
    7,224.86/10,835.40 = 2,029.52/x
  3. Step 3: Cross multiply
    7,224.86x = 10,835.40 × 2,029.52
  4. Step 4: Simplify right side
    7,224.86x = 21,990,661.01
  5. Step 5: Solve for x
    x = 21,990,661.01/7,224.86
  6. Step 6: Final answer
    x = 3,043.75

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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.