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Finding the Fourth Proportional to 11,646.12, 16,073.37 and 6,866.94

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Solution

The fourth proportional to 11,646.12, 16,073.37 and 6,866.94 is: 9,477.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,646.12 : 16,073.37 = 6,866.94 : x
  2. Step 2: Convert to fraction form
    11,646.12/16,073.37 = 6,866.94/x
  3. Step 3: Cross multiply
    11,646.12x = 16,073.37 × 6,866.94
  4. Step 4: Simplify right side
    11,646.12x = 110,374,867.39
  5. Step 5: Solve for x
    x = 110,374,867.39/11,646.12
  6. Step 6: Final answer
    x = 9,477.39

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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.