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Finding the Fourth Proportional to 8,714.24, 13,063.43 and 3,165.20

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Solution

The fourth proportional to 8,714.24, 13,063.43 and 3,165.20 is: 4,744.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,714.24 : 13,063.43 = 3,165.20 : x
  2. Step 2: Convert to fraction form
    8,714.24/13,063.43 = 3,165.20/x
  3. Step 3: Cross multiply
    8,714.24x = 13,063.43 × 3,165.20
  4. Step 4: Simplify right side
    8,714.24x = 41,348,368.64
  5. Step 5: Solve for x
    x = 41,348,368.64/8,714.24
  6. Step 6: Final answer
    x = 4,744.92

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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.