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Finding the Fourth Proportional to 7,878.88, 11,820.72 and 3,722.08

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Solution

The fourth proportional to 7,878.88, 11,820.72 and 3,722.08 is: 5,584.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,878.88 : 11,820.72 = 3,722.08 : x
  2. Step 2: Convert to fraction form
    7,878.88/11,820.72 = 3,722.08/x
  3. Step 3: Cross multiply
    7,878.88x = 11,820.72 × 3,722.08
  4. Step 4: Simplify right side
    7,878.88x = 43,997,665.50
  5. Step 5: Solve for x
    x = 43,997,665.50/7,878.88
  6. Step 6: Final answer
    x = 5,584.25

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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.