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Finding the Fourth Proportional to 7,878.86, 11,821.02 and 3,499.39

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Solution

The fourth proportional to 7,878.86, 11,821.02 and 3,499.39 is: 5,250.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,878.86 : 11,821.02 = 3,499.39 : x
  2. Step 2: Convert to fraction form
    7,878.86/11,821.02 = 3,499.39/x
  3. Step 3: Cross multiply
    7,878.86x = 11,821.02 × 3,499.39
  4. Step 4: Simplify right side
    7,878.86x = 41,366,359.18
  5. Step 5: Solve for x
    x = 41,366,359.18/7,878.86
  6. Step 6: Final answer
    x = 5,250.30

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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.