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Finding the Fourth Proportional to 8,083.08, 12,122.46 and 3,465

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Solution

The fourth proportional to 8,083.08, 12,122.46 and 3,465 is: 5,196.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,083.08 : 12,122.46 = 3,465 : x
  2. Step 2: Convert to fraction form
    8,083.08/12,122.46 = 3,465/x
  3. Step 3: Cross multiply
    8,083.08x = 12,122.46 × 3,465
  4. Step 4: Simplify right side
    8,083.08x = 42,004,323.90
  5. Step 5: Solve for x
    x = 42,004,323.90/8,083.08
  6. Step 6: Final answer
    x = 5,196.57

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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.