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Finding the Fourth Proportional to 8,714.61, 13,071.92 and 3,166.92

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Solution

The fourth proportional to 8,714.61, 13,071.92 and 3,166.92 is: 4,750.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,714.61 : 13,071.92 = 3,166.92 : x
  2. Step 2: Convert to fraction form
    8,714.61/13,071.92 = 3,166.92/x
  3. Step 3: Cross multiply
    8,714.61x = 13,071.92 × 3,166.92
  4. Step 4: Simplify right side
    8,714.61x = 41,397,709.05
  5. Step 5: Solve for x
    x = 41,397,709.05/8,714.61
  6. Step 6: Final answer
    x = 4,750.38

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