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Finding the Fourth Proportional to 8,536.06, 11,779.72 and 4,951.74

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Solution

The fourth proportional to 8,536.06, 11,779.72 and 4,951.74 is: 6,833.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,536.06 : 11,779.72 = 4,951.74 : x
  2. Step 2: Convert to fraction form
    8,536.06/11,779.72 = 4,951.74/x
  3. Step 3: Cross multiply
    8,536.06x = 11,779.72 × 4,951.74
  4. Step 4: Simplify right side
    8,536.06x = 58,330,076.25
  5. Step 5: Solve for x
    x = 58,330,076.25/8,536.06
  6. Step 6: Final answer
    x = 6,833.38

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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.