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Finding the Fourth Proportional to 7,842.80, 10,823.09 and 4,257.79

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Solution

The fourth proportional to 7,842.80, 10,823.09 and 4,257.79 is: 5,875.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,842.80 : 10,823.09 = 4,257.79 : x
  2. Step 2: Convert to fraction form
    7,842.80/10,823.09 = 4,257.79/x
  3. Step 3: Cross multiply
    7,842.80x = 10,823.09 × 4,257.79
  4. Step 4: Simplify right side
    7,842.80x = 46,082,396.02
  5. Step 5: Solve for x
    x = 46,082,396.02/7,842.80
  6. Step 6: Final answer
    x = 5,875.76

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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.