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Finding the Fourth Proportional to 8,258.40, 11,394.84 and 4,902.48

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Solution

The fourth proportional to 8,258.40, 11,394.84 and 4,902.48 is: 6,764.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,258.40 : 11,394.84 = 4,902.48 : x
  2. Step 2: Convert to fraction form
    8,258.40/11,394.84 = 4,902.48/x
  3. Step 3: Cross multiply
    8,258.40x = 11,394.84 × 4,902.48
  4. Step 4: Simplify right side
    8,258.40x = 55,862,975.20
  5. Step 5: Solve for x
    x = 55,862,975.20/8,258.40
  6. Step 6: Final answer
    x = 6,764.38

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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.