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Finding the Fourth Proportional to 7,294.40, 10,941.75 and 2,614.71

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Solution

The fourth proportional to 7,294.40, 10,941.75 and 2,614.71 is: 3,922.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,294.40 : 10,941.75 = 2,614.71 : x
  2. Step 2: Convert to fraction form
    7,294.40/10,941.75 = 2,614.71/x
  3. Step 3: Cross multiply
    7,294.40x = 10,941.75 × 2,614.71
  4. Step 4: Simplify right side
    7,294.40x = 28,609,503.14
  5. Step 5: Solve for x
    x = 28,609,503.14/7,294.40
  6. Step 6: Final answer
    x = 3,922.12

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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.