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Finding the Fourth Proportional to 11,623.57, 17,392.28 and 6,946.12

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Solution

The fourth proportional to 11,623.57, 17,392.28 and 6,946.12 is: 10,393.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,623.57 : 17,392.28 = 6,946.12 : x
  2. Step 2: Convert to fraction form
    11,623.57/17,392.28 = 6,946.12/x
  3. Step 3: Cross multiply
    11,623.57x = 17,392.28 × 6,946.12
  4. Step 4: Simplify right side
    11,623.57x = 120,808,863.95
  5. Step 5: Solve for x
    x = 120,808,863.95/11,623.57
  6. Step 6: Final answer
    x = 10,393.44

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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.