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Finding the Fourth Proportional to 13,072.46, 19,614.11 and 5,683.10

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Solution

The fourth proportional to 13,072.46, 19,614.11 and 5,683.10 is: 8,527.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,072.46 : 19,614.11 = 5,683.10 : x
  2. Step 2: Convert to fraction form
    13,072.46/19,614.11 = 5,683.10/x
  3. Step 3: Cross multiply
    13,072.46x = 19,614.11 × 5,683.10
  4. Step 4: Simplify right side
    13,072.46x = 111,468,822.05
  5. Step 5: Solve for x
    x = 111,468,822.05/13,072.46
  6. Step 6: Final answer
    x = 8,527.00

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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.