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Finding the Fourth Proportional to 10,171.78, 15,258.20 and 3,156.64

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Solution

The fourth proportional to 10,171.78, 15,258.20 and 3,156.64 is: 4,735.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,171.78 : 15,258.20 = 3,156.64 : x
  2. Step 2: Convert to fraction form
    10,171.78/15,258.20 = 3,156.64/x
  3. Step 3: Cross multiply
    10,171.78x = 15,258.20 × 3,156.64
  4. Step 4: Simplify right side
    10,171.78x = 48,164,644.45
  5. Step 5: Solve for x
    x = 48,164,644.45/10,171.78
  6. Step 6: Final answer
    x = 4,735.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.