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Finding the Fourth Proportional to 11,316, 16,974.03 and 3,524.82

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Solution

The fourth proportional to 11,316, 16,974.03 and 3,524.82 is: 5,287.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,316 : 16,974.03 = 3,524.82 : x
  2. Step 2: Convert to fraction form
    11,316/16,974.03 = 3,524.82/x
  3. Step 3: Cross multiply
    11,316x = 16,974.03 × 3,524.82
  4. Step 4: Simplify right side
    11,316x = 59,830,400.42
  5. Step 5: Solve for x
    x = 59,830,400.42/11,316
  6. Step 6: Final answer
    x = 5,287.24

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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.