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Finding the Fourth Proportional to 8,305.24, 11,461 and 4,579

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Solution

The fourth proportional to 8,305.24, 11,461 and 4,579 is: 6,318.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,305.24 : 11,461 = 4,579 : x
  2. Step 2: Convert to fraction form
    8,305.24/11,461 = 4,579/x
  3. Step 3: Cross multiply
    8,305.24x = 11,461 × 4,579
  4. Step 4: Simplify right side
    8,305.24x = 52,479,919
  5. Step 5: Solve for x
    x = 52,479,919/8,305.24
  6. Step 6: Final answer
    x = 6,318.89

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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.