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Finding the Fourth Proportional to 7,894.27, 10,889.33 and 4,706.38

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Solution

The fourth proportional to 7,894.27, 10,889.33 and 4,706.38 is: 6,491.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,894.27 : 10,889.33 = 4,706.38 : x
  2. Step 2: Convert to fraction form
    7,894.27/10,889.33 = 4,706.38/x
  3. Step 3: Cross multiply
    7,894.27x = 10,889.33 × 4,706.38
  4. Step 4: Simplify right side
    7,894.27x = 51,249,324.93
  5. Step 5: Solve for x
    x = 51,249,324.93/7,894.27
  6. Step 6: Final answer
    x = 6,491.97

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Why These Related Problems?

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