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Finding the Fourth Proportional to 8,505.96, 11,738.16 and 4,779.96

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Solution

The fourth proportional to 8,505.96, 11,738.16 and 4,779.96 is: 6,596.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,505.96 : 11,738.16 = 4,779.96 : x
  2. Step 2: Convert to fraction form
    8,505.96/11,738.16 = 4,779.96/x
  3. Step 3: Cross multiply
    8,505.96x = 11,738.16 × 4,779.96
  4. Step 4: Simplify right side
    8,505.96x = 56,107,935.27
  5. Step 5: Solve for x
    x = 56,107,935.27/8,505.96
  6. Step 6: Final answer
    x = 6,596.31

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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.