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Finding the Fourth Proportional to 8,177.77, 12,263.01 and 2,980

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Solution

The fourth proportional to 8,177.77, 12,263.01 and 2,980 is: 4,468.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,177.77 : 12,263.01 = 2,980 : x
  2. Step 2: Convert to fraction form
    8,177.77/12,263.01 = 2,980/x
  3. Step 3: Cross multiply
    8,177.77x = 12,263.01 × 2,980
  4. Step 4: Simplify right side
    8,177.77x = 36,543,769.80
  5. Step 5: Solve for x
    x = 36,543,769.80/8,177.77
  6. Step 6: Final answer
    x = 4,468.67

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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.