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Finding the Fourth Proportional to 8,714.17, 13,071.24 and 3,518.83

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Solution

The fourth proportional to 8,714.17, 13,071.24 and 3,518.83 is: 5,278.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,714.17 : 13,071.24 = 3,518.83 : x
  2. Step 2: Convert to fraction form
    8,714.17/13,071.24 = 3,518.83/x
  3. Step 3: Cross multiply
    8,714.17x = 13,071.24 × 3,518.83
  4. Step 4: Simplify right side
    8,714.17x = 45,995,471.45
  5. Step 5: Solve for x
    x = 45,995,471.45/8,714.17
  6. Step 6: Final answer
    x = 5,278.24

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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.