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Finding the Fourth Proportional to 8,156.34, 11,258.42 and 7,442.73

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Solution

The fourth proportional to 8,156.34, 11,258.42 and 7,442.73 is: 10,273.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,156.34 : 11,258.42 = 7,442.73 : x
  2. Step 2: Convert to fraction form
    8,156.34/11,258.42 = 7,442.73/x
  3. Step 3: Cross multiply
    8,156.34x = 11,258.42 × 7,442.73
  4. Step 4: Simplify right side
    8,156.34x = 83,793,380.29
  5. Step 5: Solve for x
    x = 83,793,380.29/8,156.34
  6. Step 6: Final answer
    x = 10,273.40

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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.