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Finding the Fourth Proportional to 8,394, 11,583.98 and 4,616.97

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Solution

The fourth proportional to 8,394, 11,583.98 and 4,616.97 is: 6,371.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,394 : 11,583.98 = 4,616.97 : x
  2. Step 2: Convert to fraction form
    8,394/11,583.98 = 4,616.97/x
  3. Step 3: Cross multiply
    8,394x = 11,583.98 × 4,616.97
  4. Step 4: Simplify right side
    8,394x = 53,482,865.06
  5. Step 5: Solve for x
    x = 53,482,865.06/8,394
  6. Step 6: Final answer
    x = 6,371.56

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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.