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Finding the Fourth Proportional to 10,974.04, 16,461.48 and 3,578.56

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Solution

The fourth proportional to 10,974.04, 16,461.48 and 3,578.56 is: 5,367.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,974.04 : 16,461.48 = 3,578.56 : x
  2. Step 2: Convert to fraction form
    10,974.04/16,461.48 = 3,578.56/x
  3. Step 3: Cross multiply
    10,974.04x = 16,461.48 × 3,578.56
  4. Step 4: Simplify right side
    10,974.04x = 58,908,393.87
  5. Step 5: Solve for x
    x = 58,908,393.87/10,974.04
  6. Step 6: Final answer
    x = 5,367.98

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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.