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Finding the Fourth Proportional to 11,548, 17,324.94 and 3,228.02

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Solution

The fourth proportional to 11,548, 17,324.94 and 3,228.02 is: 4,842.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,548 : 17,324.94 = 3,228.02 : x
  2. Step 2: Convert to fraction form
    11,548/17,324.94 = 3,228.02/x
  3. Step 3: Cross multiply
    11,548x = 17,324.94 × 3,228.02
  4. Step 4: Simplify right side
    11,548x = 55,925,252.82
  5. Step 5: Solve for x
    x = 55,925,252.82/11,548
  6. Step 6: Final answer
    x = 4,842.85

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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.