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Finding the Fourth Proportional to 7,027.16, 10,542.72 and 3,078.80

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Solution

The fourth proportional to 7,027.16, 10,542.72 and 3,078.80 is: 4,619.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,027.16 : 10,542.72 = 3,078.80 : x
  2. Step 2: Convert to fraction form
    7,027.16/10,542.72 = 3,078.80/x
  3. Step 3: Cross multiply
    7,027.16x = 10,542.72 × 3,078.80
  4. Step 4: Simplify right side
    7,027.16x = 32,458,926.34
  5. Step 5: Solve for x
    x = 32,458,926.34/7,027.16
  6. Step 6: Final answer
    x = 4,619.07

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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.