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Finding the Fourth Proportional to 10,204.56, 14,096.16 and 7,994.34

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Solution

The fourth proportional to 10,204.56, 14,096.16 and 7,994.34 is: 11,043.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,204.56 : 14,096.16 = 7,994.34 : x
  2. Step 2: Convert to fraction form
    10,204.56/14,096.16 = 7,994.34/x
  3. Step 3: Cross multiply
    10,204.56x = 14,096.16 × 7,994.34
  4. Step 4: Simplify right side
    10,204.56x = 112,689,495.73
  5. Step 5: Solve for x
    x = 112,689,495.73/10,204.56
  6. Step 6: Final answer
    x = 11,043.05

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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.