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Finding the Fourth Proportional to 13,077.67, 18,045.83 and 7,771.46

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Solution

The fourth proportional to 13,077.67, 18,045.83 and 7,771.46 is: 10,723.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,077.67 : 18,045.83 = 7,771.46 : x
  2. Step 2: Convert to fraction form
    13,077.67/18,045.83 = 7,771.46/x
  3. Step 3: Cross multiply
    13,077.67x = 18,045.83 × 7,771.46
  4. Step 4: Simplify right side
    13,077.67x = 140,242,510.56
  5. Step 5: Solve for x
    x = 140,242,510.56/13,077.67
  6. Step 6: Final answer
    x = 10,723.82

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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.