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Finding the Fourth Proportional to 12,568.42, 17,344.47 and 7,855.39

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Solution

The fourth proportional to 12,568.42, 17,344.47 and 7,855.39 is: 10,840.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,568.42 : 17,344.47 = 7,855.39 : x
  2. Step 2: Convert to fraction form
    12,568.42/17,344.47 = 7,855.39/x
  3. Step 3: Cross multiply
    12,568.42x = 17,344.47 × 7,855.39
  4. Step 4: Simplify right side
    12,568.42x = 136,247,576.19
  5. Step 5: Solve for x
    x = 136,247,576.19/12,568.42
  6. Step 6: Final answer
    x = 10,840.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.