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Finding the Fourth Proportional to 11,745.60, 16,209.68 and 6,642.39

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Solution

The fourth proportional to 11,745.60, 16,209.68 and 6,642.39 is: 9,166.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,745.60 : 16,209.68 = 6,642.39 : x
  2. Step 2: Convert to fraction form
    11,745.60/16,209.68 = 6,642.39/x
  3. Step 3: Cross multiply
    11,745.60x = 16,209.68 × 6,642.39
  4. Step 4: Simplify right side
    11,745.60x = 107,671,016.34
  5. Step 5: Solve for x
    x = 107,671,016.34/11,745.60
  6. Step 6: Final answer
    x = 9,166.92

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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.