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Finding the Fourth Proportional to 7,309.53, 10,967.48 and 3,148.46

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Solution

The fourth proportional to 7,309.53, 10,967.48 and 3,148.46 is: 4,724.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,309.53 : 10,967.48 = 3,148.46 : x
  2. Step 2: Convert to fraction form
    7,309.53/10,967.48 = 3,148.46/x
  3. Step 3: Cross multiply
    7,309.53x = 10,967.48 × 3,148.46
  4. Step 4: Simplify right side
    7,309.53x = 34,530,672.08
  5. Step 5: Solve for x
    x = 34,530,672.08/7,309.53
  6. Step 6: Final answer
    x = 4,724.06

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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.