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Finding the Fourth Proportional to 13,511.79, 18,645.84 and 7,847.01

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Solution

The fourth proportional to 13,511.79, 18,645.84 and 7,847.01 is: 10,828.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,511.79 : 18,645.84 = 7,847.01 : x
  2. Step 2: Convert to fraction form
    13,511.79/18,645.84 = 7,847.01/x
  3. Step 3: Cross multiply
    13,511.79x = 18,645.84 × 7,847.01
  4. Step 4: Simplify right side
    13,511.79x = 146,314,092.94
  5. Step 5: Solve for x
    x = 146,314,092.94/13,511.79
  6. Step 6: Final answer
    x = 10,828.62

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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.