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Finding the Fourth Proportional to 10,099.10, 13,938.84 and 5,850.86

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Solution

The fourth proportional to 10,099.10, 13,938.84 and 5,850.86 is: 8,075.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,099.10 : 13,938.84 = 5,850.86 : x
  2. Step 2: Convert to fraction form
    10,099.10/13,938.84 = 5,850.86/x
  3. Step 3: Cross multiply
    10,099.10x = 13,938.84 × 5,850.86
  4. Step 4: Simplify right side
    10,099.10x = 81,554,201.40
  5. Step 5: Solve for x
    x = 81,554,201.40/10,099.10
  6. Step 6: Final answer
    x = 8,075.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.