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Finding the Fourth Proportional to 7,142.06, 10,714.80 and 3,245.60

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Solution

The fourth proportional to 7,142.06, 10,714.80 and 3,245.60 is: 4,869.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,142.06 : 10,714.80 = 3,245.60 : x
  2. Step 2: Convert to fraction form
    7,142.06/10,714.80 = 3,245.60/x
  3. Step 3: Cross multiply
    7,142.06x = 10,714.80 × 3,245.60
  4. Step 4: Simplify right side
    7,142.06x = 34,775,954.88
  5. Step 5: Solve for x
    x = 34,775,954.88/7,142.06
  6. Step 6: Final answer
    x = 4,869.18

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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.