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Finding the Fourth Proportional to 8,013.50, 12,021.80 and 2,465.86

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Solution

The fourth proportional to 8,013.50, 12,021.80 and 2,465.86 is: 3,699.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,013.50 : 12,021.80 = 2,465.86 : x
  2. Step 2: Convert to fraction form
    8,013.50/12,021.80 = 2,465.86/x
  3. Step 3: Cross multiply
    8,013.50x = 12,021.80 × 2,465.86
  4. Step 4: Simplify right side
    8,013.50x = 29,644,075.75
  5. Step 5: Solve for x
    x = 29,644,075.75/8,013.50
  6. Step 6: Final answer
    x = 3,699.27

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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.