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Finding the Fourth Proportional to 8,123.77, 12,190.51 and 7,462.81

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Solution

The fourth proportional to 8,123.77, 12,190.51 and 7,462.81 is: 11,198.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,123.77 : 12,190.51 = 7,462.81 : x
  2. Step 2: Convert to fraction form
    8,123.77/12,190.51 = 7,462.81/x
  3. Step 3: Cross multiply
    8,123.77x = 12,190.51 × 7,462.81
  4. Step 4: Simplify right side
    8,123.77x = 90,975,459.93
  5. Step 5: Solve for x
    x = 90,975,459.93/8,123.77
  6. Step 6: Final answer
    x = 11,198.67

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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.