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Finding the Fourth Proportional to 11,159.84, 16,742.16 and 3,369.44

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Solution

The fourth proportional to 11,159.84, 16,742.16 and 3,369.44 is: 5,054.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,159.84 : 16,742.16 = 3,369.44 : x
  2. Step 2: Convert to fraction form
    11,159.84/16,742.16 = 3,369.44/x
  3. Step 3: Cross multiply
    11,159.84x = 16,742.16 × 3,369.44
  4. Step 4: Simplify right side
    11,159.84x = 56,411,703.59
  5. Step 5: Solve for x
    x = 56,411,703.59/11,159.84
  6. Step 6: Final answer
    x = 5,054.88

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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.