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Finding the Fourth Proportional to 7,903.89, 11,857.65 and 2,709.75

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Solution

The fourth proportional to 7,903.89, 11,857.65 and 2,709.75 is: 4,065.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,903.89 : 11,857.65 = 2,709.75 : x
  2. Step 2: Convert to fraction form
    7,903.89/11,857.65 = 2,709.75/x
  3. Step 3: Cross multiply
    7,903.89x = 11,857.65 × 2,709.75
  4. Step 4: Simplify right side
    7,903.89x = 32,131,267.09
  5. Step 5: Solve for x
    x = 32,131,267.09/7,903.89
  6. Step 6: Final answer
    x = 4,065.25

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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.