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Finding the Fourth Proportional to 11,779.38, 16,254.58 and 6,742.45

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Solution

The fourth proportional to 11,779.38, 16,254.58 and 6,742.45 is: 9,304.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,779.38 : 16,254.58 = 6,742.45 : x
  2. Step 2: Convert to fraction form
    11,779.38/16,254.58 = 6,742.45/x
  3. Step 3: Cross multiply
    11,779.38x = 16,254.58 × 6,742.45
  4. Step 4: Simplify right side
    11,779.38x = 109,595,692.92
  5. Step 5: Solve for x
    x = 109,595,692.92/11,779.38
  6. Step 6: Final answer
    x = 9,304.03

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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.