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Finding the Fourth Proportional to 7,294.28, 10,941.29 and 2,363.93

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Solution

The fourth proportional to 7,294.28, 10,941.29 and 2,363.93 is: 3,545.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,294.28 : 10,941.29 = 2,363.93 : x
  2. Step 2: Convert to fraction form
    7,294.28/10,941.29 = 2,363.93/x
  3. Step 3: Cross multiply
    7,294.28x = 10,941.29 × 2,363.93
  4. Step 4: Simplify right side
    7,294.28x = 25,864,431.85
  5. Step 5: Solve for x
    x = 25,864,431.85/7,294.28
  6. Step 6: Final answer
    x = 3,545.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.