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Finding the Fourth Proportional to 8,574.38, 11,821.30 and 6,182.35

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Solution

The fourth proportional to 8,574.38, 11,821.30 and 6,182.35 is: 8,523.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,574.38 : 11,821.30 = 6,182.35 : x
  2. Step 2: Convert to fraction form
    8,574.38/11,821.30 = 6,182.35/x
  3. Step 3: Cross multiply
    8,574.38x = 11,821.30 × 6,182.35
  4. Step 4: Simplify right side
    8,574.38x = 73,083,414.06
  5. Step 5: Solve for x
    x = 73,083,414.06/8,574.38
  6. Step 6: Final answer
    x = 8,523.46

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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.