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Finding the Fourth Proportional to 7,842.40, 11,763.36 and 2,647.84

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Solution

The fourth proportional to 7,842.40, 11,763.36 and 2,647.84 is: 3,971.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,842.40 : 11,763.36 = 2,647.84 : x
  2. Step 2: Convert to fraction form
    7,842.40/11,763.36 = 2,647.84/x
  3. Step 3: Cross multiply
    7,842.40x = 11,763.36 × 2,647.84
  4. Step 4: Simplify right side
    7,842.40x = 31,147,495.14
  5. Step 5: Solve for x
    x = 31,147,495.14/7,842.40
  6. Step 6: Final answer
    x = 3,971.68

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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.