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Finding the Fourth Proportional to 13,077.27, 18,047.07 and 7,777.44

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Solution

The fourth proportional to 13,077.27, 18,047.07 and 7,777.44 is: 10,733.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,077.27 : 18,047.07 = 7,777.44 : x
  2. Step 2: Convert to fraction form
    13,077.27/18,047.07 = 7,777.44/x
  3. Step 3: Cross multiply
    13,077.27x = 18,047.07 × 7,777.44
  4. Step 4: Simplify right side
    13,077.27x = 140,360,004.10
  5. Step 5: Solve for x
    x = 140,360,004.10/13,077.27
  6. Step 6: Final answer
    x = 10,733.13

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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.