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Finding the Fourth Proportional to 7,074.88, 10,606.56 and 2,968

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Solution

The fourth proportional to 7,074.88, 10,606.56 and 2,968 is: 4,449.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,074.88 : 10,606.56 = 2,968 : x
  2. Step 2: Convert to fraction form
    7,074.88/10,606.56 = 2,968/x
  3. Step 3: Cross multiply
    7,074.88x = 10,606.56 × 2,968
  4. Step 4: Simplify right side
    7,074.88x = 31,480,270.08
  5. Step 5: Solve for x
    x = 31,480,270.08/7,074.88
  6. Step 6: Final answer
    x = 4,449.58

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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.