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Finding the Fourth Proportional to 7,308.30, 10,964.25 and 2,114.70

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Solution

The fourth proportional to 7,308.30, 10,964.25 and 2,114.70 is: 3,172.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,308.30 : 10,964.25 = 2,114.70 : x
  2. Step 2: Convert to fraction form
    7,308.30/10,964.25 = 2,114.70/x
  3. Step 3: Cross multiply
    7,308.30x = 10,964.25 × 2,114.70
  4. Step 4: Simplify right side
    7,308.30x = 23,186,099.48
  5. Step 5: Solve for x
    x = 23,186,099.48/7,308.30
  6. Step 6: Final answer
    x = 3,172.57

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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.