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Finding the Fourth Proportional to 11,042.20, 16,563.28 and 4,473

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Solution

The fourth proportional to 11,042.20, 16,563.28 and 4,473 is: 6,709.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,042.20 : 16,563.28 = 4,473 : x
  2. Step 2: Convert to fraction form
    11,042.20/16,563.28 = 4,473/x
  3. Step 3: Cross multiply
    11,042.20x = 16,563.28 × 4,473
  4. Step 4: Simplify right side
    11,042.20x = 74,087,529.08
  5. Step 5: Solve for x
    x = 74,087,529.08/11,042.20
  6. Step 6: Final answer
    x = 6,709.49

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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.