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Finding the Fourth Proportional to 8,331, 11,496.90 and 4,605

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Solution

The fourth proportional to 8,331, 11,496.90 and 4,605 is: 6,354.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,331 : 11,496.90 = 4,605 : x
  2. Step 2: Convert to fraction form
    8,331/11,496.90 = 4,605/x
  3. Step 3: Cross multiply
    8,331x = 11,496.90 × 4,605
  4. Step 4: Simplify right side
    8,331x = 52,943,224.50
  5. Step 5: Solve for x
    x = 52,943,224.50/8,331
  6. Step 6: Final answer
    x = 6,354.97

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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.