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Finding the Fourth Proportional to 7,027.72, 10,539.96 and 3,130

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Solution

The fourth proportional to 7,027.72, 10,539.96 and 3,130 is: 4,694.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,027.72 : 10,539.96 = 3,130 : x
  2. Step 2: Convert to fraction form
    7,027.72/10,539.96 = 3,130/x
  3. Step 3: Cross multiply
    7,027.72x = 10,539.96 × 3,130
  4. Step 4: Simplify right side
    7,027.72x = 32,990,074.80
  5. Step 5: Solve for x
    x = 32,990,074.80/7,027.72
  6. Step 6: Final answer
    x = 4,694.28

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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.