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Finding the Fourth Proportional to 7,685.39, 11,537.81 and 6,538.43

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Solution

The fourth proportional to 7,685.39, 11,537.81 and 6,538.43 is: 9,815.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,685.39 : 11,537.81 = 6,538.43 : x
  2. Step 2: Convert to fraction form
    7,685.39/11,537.81 = 6,538.43/x
  3. Step 3: Cross multiply
    7,685.39x = 11,537.81 × 6,538.43
  4. Step 4: Simplify right side
    7,685.39x = 75,439,130.35
  5. Step 5: Solve for x
    x = 75,439,130.35/7,685.39
  6. Step 6: Final answer
    x = 9,815.91

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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.