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Finding the Fourth Proportional to 7,842.41, 11,762.23 and 3,097.29

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Solution

The fourth proportional to 7,842.41, 11,762.23 and 3,097.29 is: 4,645.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,842.41 : 11,762.23 = 3,097.29 : x
  2. Step 2: Convert to fraction form
    7,842.41/11,762.23 = 3,097.29/x
  3. Step 3: Cross multiply
    7,842.41x = 11,762.23 × 3,097.29
  4. Step 4: Simplify right side
    7,842.41x = 36,431,037.36
  5. Step 5: Solve for x
    x = 36,431,037.36/7,842.41
  6. Step 6: Final answer
    x = 4,645.39

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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.