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Finding the Fourth Proportional to 7,675.20, 11,523.60 and 4,759.20

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Solution

The fourth proportional to 7,675.20, 11,523.60 and 4,759.20 is: 7,145.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,675.20 : 11,523.60 = 4,759.20 : x
  2. Step 2: Convert to fraction form
    7,675.20/11,523.60 = 4,759.20/x
  3. Step 3: Cross multiply
    7,675.20x = 11,523.60 × 4,759.20
  4. Step 4: Simplify right side
    7,675.20x = 54,843,117.12
  5. Step 5: Solve for x
    x = 54,843,117.12/7,675.20
  6. Step 6: Final answer
    x = 7,145.50

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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.