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Finding the Fourth Proportional to 7,828.80, 11,713.74 and 5,493.36

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Solution

The fourth proportional to 7,828.80, 11,713.74 and 5,493.36 is: 8,219.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,828.80 : 11,713.74 = 5,493.36 : x
  2. Step 2: Convert to fraction form
    7,828.80/11,713.74 = 5,493.36/x
  3. Step 3: Cross multiply
    7,828.80x = 11,713.74 × 5,493.36
  4. Step 4: Simplify right side
    7,828.80x = 64,347,790.77
  5. Step 5: Solve for x
    x = 64,347,790.77/7,828.80
  6. Step 6: Final answer
    x = 8,219.37

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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.