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Finding the Fourth Proportional to 8,714.01, 13,063.67 and 3,779.93

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Solution

The fourth proportional to 8,714.01, 13,063.67 and 3,779.93 is: 5,666.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,714.01 : 13,063.67 = 3,779.93 : x
  2. Step 2: Convert to fraction form
    8,714.01/13,063.67 = 3,779.93/x
  3. Step 3: Cross multiply
    8,714.01x = 13,063.67 × 3,779.93
  4. Step 4: Simplify right side
    8,714.01x = 49,379,758.14
  5. Step 5: Solve for x
    x = 49,379,758.14/8,714.01
  6. Step 6: Final answer
    x = 5,666.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.