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Finding the Fourth Proportional to 7,708.64, 11,563.18 and 3,029.82

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Solution

The fourth proportional to 7,708.64, 11,563.18 and 3,029.82 is: 4,544.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,708.64 : 11,563.18 = 3,029.82 : x
  2. Step 2: Convert to fraction form
    7,708.64/11,563.18 = 3,029.82/x
  3. Step 3: Cross multiply
    7,708.64x = 11,563.18 × 3,029.82
  4. Step 4: Simplify right side
    7,708.64x = 35,034,385.18
  5. Step 5: Solve for x
    x = 35,034,385.18/7,708.64
  6. Step 6: Final answer
    x = 4,544.82

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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.