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Finding the Fourth Proportional to 11,494.64, 15,863.01 and 6,459.75

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Solution

The fourth proportional to 11,494.64, 15,863.01 and 6,459.75 is: 8,914.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,494.64 : 15,863.01 = 6,459.75 : x
  2. Step 2: Convert to fraction form
    11,494.64/15,863.01 = 6,459.75/x
  3. Step 3: Cross multiply
    11,494.64x = 15,863.01 × 6,459.75
  4. Step 4: Simplify right side
    11,494.64x = 102,471,054.62
  5. Step 5: Solve for x
    x = 102,471,054.62/11,494.64
  6. Step 6: Final answer
    x = 8,914.68

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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.