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Finding the Fourth Proportional to 11,722, 16,178.28 and 6,756.88

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Solution

The fourth proportional to 11,722, 16,178.28 and 6,756.88 is: 9,325.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,722 : 16,178.28 = 6,756.88 : x
  2. Step 2: Convert to fraction form
    11,722/16,178.28 = 6,756.88/x
  3. Step 3: Cross multiply
    11,722x = 16,178.28 × 6,756.88
  4. Step 4: Simplify right side
    11,722x = 109,314,696.57
  5. Step 5: Solve for x
    x = 109,314,696.57/11,722
  6. Step 6: Final answer
    x = 9,325.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.