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Finding the Fourth Proportional to 7,218, 10,828.82 and 2,023.88

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Solution

The fourth proportional to 7,218, 10,828.82 and 2,023.88 is: 3,036.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,218 : 10,828.82 = 2,023.88 : x
  2. Step 2: Convert to fraction form
    7,218/10,828.82 = 2,023.88/x
  3. Step 3: Cross multiply
    7,218x = 10,828.82 × 2,023.88
  4. Step 4: Simplify right side
    7,218x = 21,916,183.14
  5. Step 5: Solve for x
    x = 21,916,183.14/7,218
  6. Step 6: Final answer
    x = 3,036.32

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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.