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Finding the Fourth Proportional to 12,352.50, 17,046.45 and 6,763.50

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Solution

The fourth proportional to 12,352.50, 17,046.45 and 6,763.50 is: 9,333.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,352.50 : 17,046.45 = 6,763.50 : x
  2. Step 2: Convert to fraction form
    12,352.50/17,046.45 = 6,763.50/x
  3. Step 3: Cross multiply
    12,352.50x = 17,046.45 × 6,763.50
  4. Step 4: Simplify right side
    12,352.50x = 115,293,664.58
  5. Step 5: Solve for x
    x = 115,293,664.58/12,352.50
  6. Step 6: Final answer
    x = 9,333.63

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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.