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Finding the Fourth Proportional to 11,858.64, 17,790.53 and 6,311.17

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Solution

The fourth proportional to 11,858.64, 17,790.53 and 6,311.17 is: 9,468.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,858.64 : 17,790.53 = 6,311.17 : x
  2. Step 2: Convert to fraction form
    11,858.64/17,790.53 = 6,311.17/x
  3. Step 3: Cross multiply
    11,858.64x = 17,790.53 × 6,311.17
  4. Step 4: Simplify right side
    11,858.64x = 112,279,059.22
  5. Step 5: Solve for x
    x = 112,279,059.22/11,858.64
  6. Step 6: Final answer
    x = 9,468.12

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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.