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Finding the Fourth Proportional to 8,683.50, 13,020.66 and 3,999.42

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Solution

The fourth proportional to 8,683.50, 13,020.66 and 3,999.42 is: 5,997.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,683.50 : 13,020.66 = 3,999.42 : x
  2. Step 2: Convert to fraction form
    8,683.50/13,020.66 = 3,999.42/x
  3. Step 3: Cross multiply
    8,683.50x = 13,020.66 × 3,999.42
  4. Step 4: Simplify right side
    8,683.50x = 52,075,088.02
  5. Step 5: Solve for x
    x = 52,075,088.02/8,683.50
  6. Step 6: Final answer
    x = 5,997.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.