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Finding the Fourth Proportional to 7,141.42, 10,714.02 and 2,980.05

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Solution

The fourth proportional to 7,141.42, 10,714.02 and 2,980.05 is: 4,470.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,141.42 : 10,714.02 = 2,980.05 : x
  2. Step 2: Convert to fraction form
    7,141.42/10,714.02 = 2,980.05/x
  3. Step 3: Cross multiply
    7,141.42x = 10,714.02 × 2,980.05
  4. Step 4: Simplify right side
    7,141.42x = 31,928,261.73
  5. Step 5: Solve for x
    x = 31,928,261.73/7,141.42
  6. Step 6: Final answer
    x = 4,470.86

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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.