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Finding the Fourth Proportional to 8,258.55, 11,395.74 and 4,722

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Solution

The fourth proportional to 8,258.55, 11,395.74 and 4,722 is: 6,515.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,258.55 : 11,395.74 = 4,722 : x
  2. Step 2: Convert to fraction form
    8,258.55/11,395.74 = 4,722/x
  3. Step 3: Cross multiply
    8,258.55x = 11,395.74 × 4,722
  4. Step 4: Simplify right side
    8,258.55x = 53,810,684.28
  5. Step 5: Solve for x
    x = 53,810,684.28/8,258.55
  6. Step 6: Final answer
    x = 6,515.75

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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.