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Finding the Fourth Proportional to 11,920.03, 16,448.88 and 6,614.84

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Solution

The fourth proportional to 11,920.03, 16,448.88 and 6,614.84 is: 9,128.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,920.03 : 16,448.88 = 6,614.84 : x
  2. Step 2: Convert to fraction form
    11,920.03/16,448.88 = 6,614.84/x
  3. Step 3: Cross multiply
    11,920.03x = 16,448.88 × 6,614.84
  4. Step 4: Simplify right side
    11,920.03x = 108,806,709.38
  5. Step 5: Solve for x
    x = 108,806,709.38/11,920.03
  6. Step 6: Final answer
    x = 9,128.06

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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.