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Finding the Fourth Proportional to 7,077.12, 10,612.77 and 3,074.76

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Solution

The fourth proportional to 7,077.12, 10,612.77 and 3,074.76 is: 4,610.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,077.12 : 10,612.77 = 3,074.76 : x
  2. Step 2: Convert to fraction form
    7,077.12/10,612.77 = 3,074.76/x
  3. Step 3: Cross multiply
    7,077.12x = 10,612.77 × 3,074.76
  4. Step 4: Simplify right side
    7,077.12x = 32,631,720.69
  5. Step 5: Solve for x
    x = 32,631,720.69/7,077.12
  6. Step 6: Final answer
    x = 4,610.88

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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.