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Finding the Fourth Proportional to 6,975.92, 10,459.56 and 3,275.84

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Solution

The fourth proportional to 6,975.92, 10,459.56 and 3,275.84 is: 4,911.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,975.92 : 10,459.56 = 3,275.84 : x
  2. Step 2: Convert to fraction form
    6,975.92/10,459.56 = 3,275.84/x
  3. Step 3: Cross multiply
    6,975.92x = 10,459.56 × 3,275.84
  4. Step 4: Simplify right side
    6,975.92x = 34,263,845.03
  5. Step 5: Solve for x
    x = 34,263,845.03/6,975.92
  6. Step 6: Final answer
    x = 4,911.73

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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.