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Finding the Fourth Proportional to 7,633.53, 11,453.58 and 4,122.84

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Solution

The fourth proportional to 7,633.53, 11,453.58 and 4,122.84 is: 6,186.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,633.53 : 11,453.58 = 4,122.84 : x
  2. Step 2: Convert to fraction form
    7,633.53/11,453.58 = 4,122.84/x
  3. Step 3: Cross multiply
    7,633.53x = 11,453.58 × 4,122.84
  4. Step 4: Simplify right side
    7,633.53x = 47,221,220.50
  5. Step 5: Solve for x
    x = 47,221,220.50/7,633.53
  6. Step 6: Final answer
    x = 6,186.03

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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.