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Finding the Fourth Proportional to 7,891.20, 11,845.08 and 4,779

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Solution

The fourth proportional to 7,891.20, 11,845.08 and 4,779 is: 7,173.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,891.20 : 11,845.08 = 4,779 : x
  2. Step 2: Convert to fraction form
    7,891.20/11,845.08 = 4,779/x
  3. Step 3: Cross multiply
    7,891.20x = 11,845.08 × 4,779
  4. Step 4: Simplify right side
    7,891.20x = 56,607,637.32
  5. Step 5: Solve for x
    x = 56,607,637.32/7,891.20
  6. Step 6: Final answer
    x = 7,173.51

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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.