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Finding the Fourth Proportional to 7,039.42, 10,538.09 and 4,257.68

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Solution

The fourth proportional to 7,039.42, 10,538.09 and 4,257.68 is: 6,373.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,039.42 : 10,538.09 = 4,257.68 : x
  2. Step 2: Convert to fraction form
    7,039.42/10,538.09 = 4,257.68/x
  3. Step 3: Cross multiply
    7,039.42x = 10,538.09 × 4,257.68
  4. Step 4: Simplify right side
    7,039.42x = 44,867,815.03
  5. Step 5: Solve for x
    x = 44,867,815.03/7,039.42
  6. Step 6: Final answer
    x = 6,373.79

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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.