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Finding the Fourth Proportional to 7,634.12, 10,534.86 and 4,448.12

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Solution

The fourth proportional to 7,634.12, 10,534.86 and 4,448.12 is: 6,138.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,634.12 : 10,534.86 = 4,448.12 : x
  2. Step 2: Convert to fraction form
    7,634.12/10,534.86 = 4,448.12/x
  3. Step 3: Cross multiply
    7,634.12x = 10,534.86 × 4,448.12
  4. Step 4: Simplify right side
    7,634.12x = 46,860,268.79
  5. Step 5: Solve for x
    x = 46,860,268.79/7,634.12
  6. Step 6: Final answer
    x = 6,138.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.