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Finding the Fourth Proportional to 7,644.68, 11,447.58 and 5,039.72

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Solution

The fourth proportional to 7,644.68, 11,447.58 and 5,039.72 is: 7,546.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,644.68 : 11,447.58 = 5,039.72 : x
  2. Step 2: Convert to fraction form
    7,644.68/11,447.58 = 5,039.72/x
  3. Step 3: Cross multiply
    7,644.68x = 11,447.58 × 5,039.72
  4. Step 4: Simplify right side
    7,644.68x = 57,692,597.88
  5. Step 5: Solve for x
    x = 57,692,597.88/7,644.68
  6. Step 6: Final answer
    x = 7,546.76

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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.