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Finding the Fourth Proportional to 10,683.62, 16,020.16 and 6,242.40

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Solution

The fourth proportional to 10,683.62, 16,020.16 and 6,242.40 is: 9,360.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,683.62 : 16,020.16 = 6,242.40 : x
  2. Step 2: Convert to fraction form
    10,683.62/16,020.16 = 6,242.40/x
  3. Step 3: Cross multiply
    10,683.62x = 16,020.16 × 6,242.40
  4. Step 4: Simplify right side
    10,683.62x = 100,004,246.78
  5. Step 5: Solve for x
    x = 100,004,246.78/10,683.62
  6. Step 6: Final answer
    x = 9,360.52

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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.