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Finding the Fourth Proportional to 8,289.73, 12,421.63 and 5,205.25

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Solution

The fourth proportional to 8,289.73, 12,421.63 and 5,205.25 is: 7,799.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,289.73 : 12,421.63 = 5,205.25 : x
  2. Step 2: Convert to fraction form
    8,289.73/12,421.63 = 5,205.25/x
  3. Step 3: Cross multiply
    8,289.73x = 12,421.63 × 5,205.25
  4. Step 4: Simplify right side
    8,289.73x = 64,657,689.56
  5. Step 5: Solve for x
    x = 64,657,689.56/8,289.73
  6. Step 6: Final answer
    x = 7,799.73

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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.