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Finding the Fourth Proportional to 7,828.65, 10,797.21 and 4,842.39

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Solution

The fourth proportional to 7,828.65, 10,797.21 and 4,842.39 is: 6,678.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,828.65 : 10,797.21 = 4,842.39 : x
  2. Step 2: Convert to fraction form
    7,828.65/10,797.21 = 4,842.39/x
  3. Step 3: Cross multiply
    7,828.65x = 10,797.21 × 4,842.39
  4. Step 4: Simplify right side
    7,828.65x = 52,284,301.73
  5. Step 5: Solve for x
    x = 52,284,301.73/7,828.65
  6. Step 6: Final answer
    x = 6,678.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.