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Finding the Fourth Proportional to 7,219, 10,828.72 and 2,024.88

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Solution

The fourth proportional to 7,219, 10,828.72 and 2,024.88 is: 3,037.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,219 : 10,828.72 = 2,024.88 : x
  2. Step 2: Convert to fraction form
    7,219/10,828.72 = 2,024.88/x
  3. Step 3: Cross multiply
    7,219x = 10,828.72 × 2,024.88
  4. Step 4: Simplify right side
    7,219x = 21,926,858.55
  5. Step 5: Solve for x
    x = 21,926,858.55/7,219
  6. Step 6: Final answer
    x = 3,037.38

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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.