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Finding the Fourth Proportional to 8,678.40, 13,033.49 and 7,946.44

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Solution

The fourth proportional to 8,678.40, 13,033.49 and 7,946.44 is: 11,934.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,678.40 : 13,033.49 = 7,946.44 : x
  2. Step 2: Convert to fraction form
    8,678.40/13,033.49 = 7,946.44/x
  3. Step 3: Cross multiply
    8,678.40x = 13,033.49 × 7,946.44
  4. Step 4: Simplify right side
    8,678.40x = 103,569,846.28
  5. Step 5: Solve for x
    x = 103,569,846.28/8,678.40
  6. Step 6: Final answer
    x = 11,934.21

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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.