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Finding the Fourth Proportional to 8,304.54, 11,460.26 and 4,578.54

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Solution

The fourth proportional to 8,304.54, 11,460.26 and 4,578.54 is: 6,318.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,304.54 : 11,460.26 = 4,578.54 : x
  2. Step 2: Convert to fraction form
    8,304.54/11,460.26 = 4,578.54/x
  3. Step 3: Cross multiply
    8,304.54x = 11,460.26 × 4,578.54
  4. Step 4: Simplify right side
    8,304.54x = 52,471,258.82
  5. Step 5: Solve for x
    x = 52,471,258.82/8,304.54
  6. Step 6: Final answer
    x = 6,318.38

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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.