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Finding the Fourth Proportional to 7,298.96, 10,940.88 and 3,400.16

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Solution

The fourth proportional to 7,298.96, 10,940.88 and 3,400.16 is: 5,096.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,298.96 : 10,940.88 = 3,400.16 : x
  2. Step 2: Convert to fraction form
    7,298.96/10,940.88 = 3,400.16/x
  3. Step 3: Cross multiply
    7,298.96x = 10,940.88 × 3,400.16
  4. Step 4: Simplify right side
    7,298.96x = 37,200,742.54
  5. Step 5: Solve for x
    x = 37,200,742.54/7,298.96
  6. Step 6: Final answer
    x = 5,096.72

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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.