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Finding the Fourth Proportional to 8,046.40, 12,069.60 and 7,463.20

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Solution

The fourth proportional to 8,046.40, 12,069.60 and 7,463.20 is: 11,194.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,046.40 : 12,069.60 = 7,463.20 : x
  2. Step 2: Convert to fraction form
    8,046.40/12,069.60 = 7,463.20/x
  3. Step 3: Cross multiply
    8,046.40x = 12,069.60 × 7,463.20
  4. Step 4: Simplify right side
    8,046.40x = 90,077,838.72
  5. Step 5: Solve for x
    x = 90,077,838.72/8,046.40
  6. Step 6: Final answer
    x = 11,194.80

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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.