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Finding the Fourth Proportional to 8,192.40, 12,291.71 and 4,907.85

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Solution

The fourth proportional to 8,192.40, 12,291.71 and 4,907.85 is: 7,363.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,192.40 : 12,291.71 = 4,907.85 : x
  2. Step 2: Convert to fraction form
    8,192.40/12,291.71 = 4,907.85/x
  3. Step 3: Cross multiply
    8,192.40x = 12,291.71 × 4,907.85
  4. Step 4: Simplify right side
    8,192.40x = 60,325,868.92
  5. Step 5: Solve for x
    x = 60,325,868.92/8,192.40
  6. Step 6: Final answer
    x = 7,363.64

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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.