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Finding the Fourth Proportional to 12,160.98, 16,779.78 and 7,441.92

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Solution

The fourth proportional to 12,160.98, 16,779.78 and 7,441.92 is: 10,268.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,160.98 : 16,779.78 = 7,441.92 : x
  2. Step 2: Convert to fraction form
    12,160.98/16,779.78 = 7,441.92/x
  3. Step 3: Cross multiply
    12,160.98x = 16,779.78 × 7,441.92
  4. Step 4: Simplify right side
    12,160.98x = 124,873,780.38
  5. Step 5: Solve for x
    x = 124,873,780.38/12,160.98
  6. Step 6: Final answer
    x = 10,268.40

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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.