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Finding the Fourth Proportional to 11,465.56, 17,164.29 and 6,255.64

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Solution

The fourth proportional to 11,465.56, 17,164.29 and 6,255.64 is: 9,364.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,465.56 : 17,164.29 = 6,255.64 : x
  2. Step 2: Convert to fraction form
    11,465.56/17,164.29 = 6,255.64/x
  3. Step 3: Cross multiply
    11,465.56x = 17,164.29 × 6,255.64
  4. Step 4: Simplify right side
    11,465.56x = 107,373,619.10
  5. Step 5: Solve for x
    x = 107,373,619.10/11,465.56
  6. Step 6: Final answer
    x = 9,364.88

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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.