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Finding the Fourth Proportional to 10,967, 16,458.06 and 9,504.68

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Solution

The fourth proportional to 10,967, 16,458.06 and 9,504.68 is: 14,263.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,967 : 16,458.06 = 9,504.68 : x
  2. Step 2: Convert to fraction form
    10,967/16,458.06 = 9,504.68/x
  3. Step 3: Cross multiply
    10,967x = 16,458.06 × 9,504.68
  4. Step 4: Simplify right side
    10,967x = 156,428,593.72
  5. Step 5: Solve for x
    x = 156,428,593.72/10,967
  6. Step 6: Final answer
    x = 14,263.57

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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.