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Finding the Fourth Proportional to 10,116.32, 15,174.48 and 3,956

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Solution

The fourth proportional to 10,116.32, 15,174.48 and 3,956 is: 5,934

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,116.32 : 15,174.48 = 3,956 : x
  2. Step 2: Convert to fraction form
    10,116.32/15,174.48 = 3,956/x
  3. Step 3: Cross multiply
    10,116.32x = 15,174.48 × 3,956
  4. Step 4: Simplify right side
    10,116.32x = 60,030,242.88
  5. Step 5: Solve for x
    x = 60,030,242.88/10,116.32
  6. Step 6: Final answer
    x = 5,934

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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.