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Finding the Fourth Proportional to 6,714.80, 10,068.60 and 2,814.80

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Solution

The fourth proportional to 6,714.80, 10,068.60 and 2,814.80 is: 4,220.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,714.80 : 10,068.60 = 2,814.80 : x
  2. Step 2: Convert to fraction form
    6,714.80/10,068.60 = 2,814.80/x
  3. Step 3: Cross multiply
    6,714.80x = 10,068.60 × 2,814.80
  4. Step 4: Simplify right side
    6,714.80x = 28,341,095.28
  5. Step 5: Solve for x
    x = 28,341,095.28/6,714.80
  6. Step 6: Final answer
    x = 4,220.69

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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.