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Finding the Fourth Proportional to 11,798.03, 17,678.68 and 4,400.50

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Solution

The fourth proportional to 11,798.03, 17,678.68 and 4,400.50 is: 6,593.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,798.03 : 17,678.68 = 4,400.50 : x
  2. Step 2: Convert to fraction form
    11,798.03/17,678.68 = 4,400.50/x
  3. Step 3: Cross multiply
    11,798.03x = 17,678.68 × 4,400.50
  4. Step 4: Simplify right side
    11,798.03x = 77,795,031.34
  5. Step 5: Solve for x
    x = 77,795,031.34/11,798.03
  6. Step 6: Final answer
    x = 6,593.90

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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.