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Finding the Fourth Proportional to 12,112.34, 16,709.10 and 7,388.42

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Solution

The fourth proportional to 12,112.34, 16,709.10 and 7,388.42 is: 10,192.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,112.34 : 16,709.10 = 7,388.42 : x
  2. Step 2: Convert to fraction form
    12,112.34/16,709.10 = 7,388.42/x
  3. Step 3: Cross multiply
    12,112.34x = 16,709.10 × 7,388.42
  4. Step 4: Simplify right side
    12,112.34x = 123,453,848.62
  5. Step 5: Solve for x
    x = 123,453,848.62/12,112.34
  6. Step 6: Final answer
    x = 10,192.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.