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Finding the Fourth Proportional to 8,184.81, 12,277.23 and 3,799.89

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Solution

The fourth proportional to 8,184.81, 12,277.23 and 3,799.89 is: 5,699.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,184.81 : 12,277.23 = 3,799.89 : x
  2. Step 2: Convert to fraction form
    8,184.81/12,277.23 = 3,799.89/x
  3. Step 3: Cross multiply
    8,184.81x = 12,277.23 × 3,799.89
  4. Step 4: Simplify right side
    8,184.81x = 46,652,123.50
  5. Step 5: Solve for x
    x = 46,652,123.50/8,184.81
  6. Step 6: Final answer
    x = 5,699.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.