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Finding the Fourth Proportional to 10,732.84, 16,096.82 and 3,807.34

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Solution

The fourth proportional to 10,732.84, 16,096.82 and 3,807.34 is: 5,710.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,732.84 : 16,096.82 = 3,807.34 : x
  2. Step 2: Convert to fraction form
    10,732.84/16,096.82 = 3,807.34/x
  3. Step 3: Cross multiply
    10,732.84x = 16,096.82 × 3,807.34
  4. Step 4: Simplify right side
    10,732.84x = 61,286,066.66
  5. Step 5: Solve for x
    x = 61,286,066.66/10,732.84
  6. Step 6: Final answer
    x = 5,710.14

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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.