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Finding the Fourth Proportional to 11,903.56, 17,858.04 and 8,207.26

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Solution

The fourth proportional to 11,903.56, 17,858.04 and 8,207.26 is: 12,312.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,903.56 : 17,858.04 = 8,207.26 : x
  2. Step 2: Convert to fraction form
    11,903.56/17,858.04 = 8,207.26/x
  3. Step 3: Cross multiply
    11,903.56x = 17,858.04 × 8,207.26
  4. Step 4: Simplify right side
    11,903.56x = 146,565,577.37
  5. Step 5: Solve for x
    x = 146,565,577.37/11,903.56
  6. Step 6: Final answer
    x = 12,312.75

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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.