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Finding the Fourth Proportional to 6,735.68, 10,097.76 and 4,422.08

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Solution

The fourth proportional to 6,735.68, 10,097.76 and 4,422.08 is: 6,629.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,735.68 : 10,097.76 = 4,422.08 : x
  2. Step 2: Convert to fraction form
    6,735.68/10,097.76 = 4,422.08/x
  3. Step 3: Cross multiply
    6,735.68x = 10,097.76 × 4,422.08
  4. Step 4: Simplify right side
    6,735.68x = 44,653,102.54
  5. Step 5: Solve for x
    x = 44,653,102.54/6,735.68
  6. Step 6: Final answer
    x = 6,629.34

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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.