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Finding the Fourth Proportional to 7,867.69, 10,857 and 4,330.23

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Solution

The fourth proportional to 7,867.69, 10,857 and 4,330.23 is: 5,975.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,867.69 : 10,857 = 4,330.23 : x
  2. Step 2: Convert to fraction form
    7,867.69/10,857 = 4,330.23/x
  3. Step 3: Cross multiply
    7,867.69x = 10,857 × 4,330.23
  4. Step 4: Simplify right side
    7,867.69x = 47,013,252.83
  5. Step 5: Solve for x
    x = 47,013,252.83/7,867.69
  6. Step 6: Final answer
    x = 5,975.48

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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.