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Finding the Fourth Proportional to 8,071.25, 12,104.71 and 2,228.18

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Solution

The fourth proportional to 8,071.25, 12,104.71 and 2,228.18 is: 3,341.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,071.25 : 12,104.71 = 2,228.18 : x
  2. Step 2: Convert to fraction form
    8,071.25/12,104.71 = 2,228.18/x
  3. Step 3: Cross multiply
    8,071.25x = 12,104.71 × 2,228.18
  4. Step 4: Simplify right side
    8,071.25x = 26,971,406.63
  5. Step 5: Solve for x
    x = 26,971,406.63/8,071.25
  6. Step 6: Final answer
    x = 3,341.67

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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.