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Finding the Fourth Proportional to 7,629.53, 11,448.72 and 4,119.53

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Solution

The fourth proportional to 7,629.53, 11,448.72 and 4,119.53 is: 6,181.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,629.53 : 11,448.72 = 4,119.53 : x
  2. Step 2: Convert to fraction form
    7,629.53/11,448.72 = 4,119.53/x
  3. Step 3: Cross multiply
    7,629.53x = 11,448.72 × 4,119.53
  4. Step 4: Simplify right side
    7,629.53x = 47,163,345.50
  5. Step 5: Solve for x
    x = 47,163,345.50/7,629.53
  6. Step 6: Final answer
    x = 6,181.68

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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.