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Finding the Fourth Proportional to 7,181.12, 10,764 and 5,122.88

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Solution

The fourth proportional to 7,181.12, 10,764 and 5,122.88 is: 7,678.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,181.12 : 10,764 = 5,122.88 : x
  2. Step 2: Convert to fraction form
    7,181.12/10,764 = 5,122.88/x
  3. Step 3: Cross multiply
    7,181.12x = 10,764 × 5,122.88
  4. Step 4: Simplify right side
    7,181.12x = 55,142,680.32
  5. Step 5: Solve for x
    x = 55,142,680.32/7,181.12
  6. Step 6: Final answer
    x = 7,678.84

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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.