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Finding the Fourth Proportional to 8,156.46, 11,258.59 and 7,442.85

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Solution

The fourth proportional to 8,156.46, 11,258.59 and 7,442.85 is: 10,273.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,156.46 : 11,258.59 = 7,442.85 : x
  2. Step 2: Convert to fraction form
    8,156.46/11,258.59 = 7,442.85/x
  3. Step 3: Cross multiply
    8,156.46x = 11,258.59 × 7,442.85
  4. Step 4: Simplify right side
    8,156.46x = 83,795,996.58
  5. Step 5: Solve for x
    x = 83,795,996.58/8,156.46
  6. Step 6: Final answer
    x = 10,273.57

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