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Finding the Fourth Proportional to 10,729.01, 16,096.14 and 3,333.30

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Solution

The fourth proportional to 10,729.01, 16,096.14 and 3,333.30 is: 5,000.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,729.01 : 16,096.14 = 3,333.30 : x
  2. Step 2: Convert to fraction form
    10,729.01/16,096.14 = 3,333.30/x
  3. Step 3: Cross multiply
    10,729.01x = 16,096.14 × 3,333.30
  4. Step 4: Simplify right side
    10,729.01x = 53,653,263.46
  5. Step 5: Solve for x
    x = 53,653,263.46/10,729.01
  6. Step 6: Final answer
    x = 5,000.77

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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.