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Finding the Fourth Proportional to 7,634.44, 11,454.25 and 4,820

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Solution

The fourth proportional to 7,634.44, 11,454.25 and 4,820 is: 7,231.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,634.44 : 11,454.25 = 4,820 : x
  2. Step 2: Convert to fraction form
    7,634.44/11,454.25 = 4,820/x
  3. Step 3: Cross multiply
    7,634.44x = 11,454.25 × 4,820
  4. Step 4: Simplify right side
    7,634.44x = 55,209,485
  5. Step 5: Solve for x
    x = 55,209,485/7,634.44
  6. Step 6: Final answer
    x = 7,231.64

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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.