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Finding the Fourth Proportional to 7,187.63, 10,778.03 and 2,507.07

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Solution

The fourth proportional to 7,187.63, 10,778.03 and 2,507.07 is: 3,759.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,187.63 : 10,778.03 = 2,507.07 : x
  2. Step 2: Convert to fraction form
    7,187.63/10,778.03 = 2,507.07/x
  3. Step 3: Cross multiply
    7,187.63x = 10,778.03 × 2,507.07
  4. Step 4: Simplify right side
    7,187.63x = 27,021,289.69
  5. Step 5: Solve for x
    x = 27,021,289.69/7,187.63
  6. Step 6: Final answer
    x = 3,759.42

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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.