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Finding the Fourth Proportional to 11,011.84, 16,523.94 and 4,442.68

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Solution

The fourth proportional to 11,011.84, 16,523.94 and 4,442.68 is: 6,666.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,011.84 : 16,523.94 = 4,442.68 : x
  2. Step 2: Convert to fraction form
    11,011.84/16,523.94 = 4,442.68/x
  3. Step 3: Cross multiply
    11,011.84x = 16,523.94 × 4,442.68
  4. Step 4: Simplify right side
    11,011.84x = 73,410,577.76
  5. Step 5: Solve for x
    x = 73,410,577.76/11,011.84
  6. Step 6: Final answer
    x = 6,666.51

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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.