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Finding the Fourth Proportional to 13,077.30, 18,049.27 and 7,771.09

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Solution

The fourth proportional to 13,077.30, 18,049.27 and 7,771.09 is: 10,725.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,077.30 : 18,049.27 = 7,771.09 : x
  2. Step 2: Convert to fraction form
    13,077.30/18,049.27 = 7,771.09/x
  3. Step 3: Cross multiply
    13,077.30x = 18,049.27 × 7,771.09
  4. Step 4: Simplify right side
    13,077.30x = 140,262,411.36
  5. Step 5: Solve for x
    x = 140,262,411.36/13,077.30
  6. Step 6: Final answer
    x = 10,725.64

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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.