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Finding the Fourth Proportional to 8,538.49, 12,811.70 and 3,609.28

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Solution

The fourth proportional to 8,538.49, 12,811.70 and 3,609.28 is: 5,415.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,538.49 : 12,811.70 = 3,609.28 : x
  2. Step 2: Convert to fraction form
    8,538.49/12,811.70 = 3,609.28/x
  3. Step 3: Cross multiply
    8,538.49x = 12,811.70 × 3,609.28
  4. Step 4: Simplify right side
    8,538.49x = 46,240,994.53
  5. Step 5: Solve for x
    x = 46,240,994.53/8,538.49
  6. Step 6: Final answer
    x = 5,415.59

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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.