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Finding the Fourth Proportional to 7,637.96, 11,458.84 and 2,443.84

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Solution

The fourth proportional to 7,637.96, 11,458.84 and 2,443.84 is: 3,666.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,637.96 : 11,458.84 = 2,443.84 : x
  2. Step 2: Convert to fraction form
    7,637.96/11,458.84 = 2,443.84/x
  3. Step 3: Cross multiply
    7,637.96x = 11,458.84 × 2,443.84
  4. Step 4: Simplify right side
    7,637.96x = 28,003,571.55
  5. Step 5: Solve for x
    x = 28,003,571.55/7,637.96
  6. Step 6: Final answer
    x = 3,666.37

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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.