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Finding the Fourth Proportional to 8,507.86, 12,759.75 and 3,577.60

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Solution

The fourth proportional to 8,507.86, 12,759.75 and 3,577.60 is: 5,365.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,507.86 : 12,759.75 = 3,577.60 : x
  2. Step 2: Convert to fraction form
    8,507.86/12,759.75 = 3,577.60/x
  3. Step 3: Cross multiply
    8,507.86x = 12,759.75 × 3,577.60
  4. Step 4: Simplify right side
    8,507.86x = 45,649,281.60
  5. Step 5: Solve for x
    x = 45,649,281.60/8,507.86
  6. Step 6: Final answer
    x = 5,365.54

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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.