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Finding the Fourth Proportional to 10,286.67, 15,434.10 and 6,128.64

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Solution

The fourth proportional to 10,286.67, 15,434.10 and 6,128.64 is: 9,195.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,286.67 : 15,434.10 = 6,128.64 : x
  2. Step 2: Convert to fraction form
    10,286.67/15,434.10 = 6,128.64/x
  3. Step 3: Cross multiply
    10,286.67x = 15,434.10 × 6,128.64
  4. Step 4: Simplify right side
    10,286.67x = 94,590,042.62
  5. Step 5: Solve for x
    x = 94,590,042.62/10,286.67
  6. Step 6: Final answer
    x = 9,195.40

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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.