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Finding the Fourth Proportional to 8,193.40, 12,282.90 and 4,907.80

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Solution

The fourth proportional to 8,193.40, 12,282.90 and 4,907.80 is: 7,357.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,193.40 : 12,282.90 = 4,907.80 : x
  2. Step 2: Convert to fraction form
    8,193.40/12,282.90 = 4,907.80/x
  3. Step 3: Cross multiply
    8,193.40x = 12,282.90 × 4,907.80
  4. Step 4: Simplify right side
    8,193.40x = 60,282,016.62
  5. Step 5: Solve for x
    x = 60,282,016.62/8,193.40
  6. Step 6: Final answer
    x = 7,357.39

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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.