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Finding the Fourth Proportional to 8,044, 12,064.14 and 2,201.05

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Solution

The fourth proportional to 8,044, 12,064.14 and 2,201.05 is: 3,301.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,044 : 12,064.14 = 2,201.05 : x
  2. Step 2: Convert to fraction form
    8,044/12,064.14 = 2,201.05/x
  3. Step 3: Cross multiply
    8,044x = 12,064.14 × 2,201.05
  4. Step 4: Simplify right side
    8,044x = 26,553,775.35
  5. Step 5: Solve for x
    x = 26,553,775.35/8,044
  6. Step 6: Final answer
    x = 3,301.07

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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.