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Finding the Fourth Proportional to 6,842.88, 10,263.68 and 1,912.96

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Solution

The fourth proportional to 6,842.88, 10,263.68 and 1,912.96 is: 2,869.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,842.88 : 10,263.68 = 1,912.96 : x
  2. Step 2: Convert to fraction form
    6,842.88/10,263.68 = 1,912.96/x
  3. Step 3: Cross multiply
    6,842.88x = 10,263.68 × 1,912.96
  4. Step 4: Simplify right side
    6,842.88x = 19,634,009.29
  5. Step 5: Solve for x
    x = 19,634,009.29/6,842.88
  6. Step 6: Final answer
    x = 2,869.26

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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.