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Finding the Fourth Proportional to 11,884.38, 17,830.77 and 5,564.89

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Solution

The fourth proportional to 11,884.38, 17,830.77 and 5,564.89 is: 8,349.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,884.38 : 17,830.77 = 5,564.89 : x
  2. Step 2: Convert to fraction form
    11,884.38/17,830.77 = 5,564.89/x
  3. Step 3: Cross multiply
    11,884.38x = 17,830.77 × 5,564.89
  4. Step 4: Simplify right side
    11,884.38x = 99,226,273.67
  5. Step 5: Solve for x
    x = 99,226,273.67/11,884.38
  6. Step 6: Final answer
    x = 8,349.30

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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.