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Finding the Fourth Proportional to 8,192.68, 12,277.27 and 4,675.39

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Solution

The fourth proportional to 8,192.68, 12,277.27 and 4,675.39 is: 7,006.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,192.68 : 12,277.27 = 4,675.39 : x
  2. Step 2: Convert to fraction form
    8,192.68/12,277.27 = 4,675.39/x
  3. Step 3: Cross multiply
    8,192.68x = 12,277.27 × 4,675.39
  4. Step 4: Simplify right side
    8,192.68x = 57,401,025.39
  5. Step 5: Solve for x
    x = 57,401,025.39/8,192.68
  6. Step 6: Final answer
    x = 7,006.38

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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.