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Finding the Fourth Proportional to 11,490.24, 17,238 and 3,282.24

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Solution

The fourth proportional to 11,490.24, 17,238 and 3,282.24 is: 4,924.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,490.24 : 17,238 = 3,282.24 : x
  2. Step 2: Convert to fraction form
    11,490.24/17,238 = 3,282.24/x
  3. Step 3: Cross multiply
    11,490.24x = 17,238 × 3,282.24
  4. Step 4: Simplify right side
    11,490.24x = 56,579,253.12
  5. Step 5: Solve for x
    x = 56,579,253.12/11,490.24
  6. Step 6: Final answer
    x = 4,924.11

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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.