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Finding the Fourth Proportional to 8,045.08, 12,071.94 and 3,427

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Solution

The fourth proportional to 8,045.08, 12,071.94 and 3,427 is: 5,142.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,045.08 : 12,071.94 = 3,427 : x
  2. Step 2: Convert to fraction form
    8,045.08/12,071.94 = 3,427/x
  3. Step 3: Cross multiply
    8,045.08x = 12,071.94 × 3,427
  4. Step 4: Simplify right side
    8,045.08x = 41,370,538.38
  5. Step 5: Solve for x
    x = 41,370,538.38/8,045.08
  6. Step 6: Final answer
    x = 5,142.34

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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.