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Finding the Fourth Proportional to 10,214.64, 14,096.21 and 5,738.40

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Solution

The fourth proportional to 10,214.64, 14,096.21 and 5,738.40 is: 7,918.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,214.64 : 14,096.21 = 5,738.40 : x
  2. Step 2: Convert to fraction form
    10,214.64/14,096.21 = 5,738.40/x
  3. Step 3: Cross multiply
    10,214.64x = 14,096.21 × 5,738.40
  4. Step 4: Simplify right side
    10,214.64x = 80,889,662.77
  5. Step 5: Solve for x
    x = 80,889,662.77/10,214.64
  6. Step 6: Final answer
    x = 7,918.99

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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.