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Finding the Fourth Proportional to 7,471.51, 11,208.89 and 2,277.25

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Solution

The fourth proportional to 7,471.51, 11,208.89 and 2,277.25 is: 3,416.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,471.51 : 11,208.89 = 2,277.25 : x
  2. Step 2: Convert to fraction form
    7,471.51/11,208.89 = 2,277.25/x
  3. Step 3: Cross multiply
    7,471.51x = 11,208.89 × 2,277.25
  4. Step 4: Simplify right side
    7,471.51x = 25,525,444.75
  5. Step 5: Solve for x
    x = 25,525,444.75/7,471.51
  6. Step 6: Final answer
    x = 3,416.37

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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.