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Finding the Fourth Proportional to 10,116.40, 15,174 and 3,096.16

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Solution

The fourth proportional to 10,116.40, 15,174 and 3,096.16 is: 4,644.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,116.40 : 15,174 = 3,096.16 : x
  2. Step 2: Convert to fraction form
    10,116.40/15,174 = 3,096.16/x
  3. Step 3: Cross multiply
    10,116.40x = 15,174 × 3,096.16
  4. Step 4: Simplify right side
    10,116.40x = 46,981,131.84
  5. Step 5: Solve for x
    x = 46,981,131.84/10,116.40
  6. Step 6: Final answer
    x = 4,644.06

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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.