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Finding the Fourth Proportional to 8,620, 11,895.04 and 5,082.40

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Solution

The fourth proportional to 8,620, 11,895.04 and 5,082.40 is: 7,013.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,620 : 11,895.04 = 5,082.40 : x
  2. Step 2: Convert to fraction form
    8,620/11,895.04 = 5,082.40/x
  3. Step 3: Cross multiply
    8,620x = 11,895.04 × 5,082.40
  4. Step 4: Simplify right side
    8,620x = 60,455,351.30
  5. Step 5: Solve for x
    x = 60,455,351.30/8,620
  6. Step 6: Final answer
    x = 7,013.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.