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Finding the Fourth Proportional to 7,705.35, 11,551.55 and 3,999.60

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Solution

The fourth proportional to 7,705.35, 11,551.55 and 3,999.60 is: 5,996.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,705.35 : 11,551.55 = 3,999.60 : x
  2. Step 2: Convert to fraction form
    7,705.35/11,551.55 = 3,999.60/x
  3. Step 3: Cross multiply
    7,705.35x = 11,551.55 × 3,999.60
  4. Step 4: Simplify right side
    7,705.35x = 46,201,559.38
  5. Step 5: Solve for x
    x = 46,201,559.38/7,705.35
  6. Step 6: Final answer
    x = 5,996.04

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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.