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Finding the Fourth Proportional to 11,705.46, 17,549.98 and 4,308.96

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Solution

The fourth proportional to 11,705.46, 17,549.98 and 4,308.96 is: 6,460.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,705.46 : 17,549.98 = 4,308.96 : x
  2. Step 2: Convert to fraction form
    11,705.46/17,549.98 = 4,308.96/x
  3. Step 3: Cross multiply
    11,705.46x = 17,549.98 × 4,308.96
  4. Step 4: Simplify right side
    11,705.46x = 75,622,161.82
  5. Step 5: Solve for x
    x = 75,622,161.82/11,705.46
  6. Step 6: Final answer
    x = 6,460.42

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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.