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Finding the Fourth Proportional to 8,258.70, 11,397.03 and 4,722

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Solution

The fourth proportional to 8,258.70, 11,397.03 and 4,722 is: 6,516.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,258.70 : 11,397.03 = 4,722 : x
  2. Step 2: Convert to fraction form
    8,258.70/11,397.03 = 4,722/x
  3. Step 3: Cross multiply
    8,258.70x = 11,397.03 × 4,722
  4. Step 4: Simplify right side
    8,258.70x = 53,816,775.66
  5. Step 5: Solve for x
    x = 53,816,775.66/8,258.70
  6. Step 6: Final answer
    x = 6,516.37

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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.