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Finding the Fourth Proportional to 7,756.64, 11,628.37 and 3,079.94

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Solution

The fourth proportional to 7,756.64, 11,628.37 and 3,079.94 is: 4,617.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,756.64 : 11,628.37 = 3,079.94 : x
  2. Step 2: Convert to fraction form
    7,756.64/11,628.37 = 3,079.94/x
  3. Step 3: Cross multiply
    7,756.64x = 11,628.37 × 3,079.94
  4. Step 4: Simplify right side
    7,756.64x = 35,814,616.06
  5. Step 5: Solve for x
    x = 35,814,616.06/7,756.64
  6. Step 6: Final answer
    x = 4,617.29

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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.