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Finding the Fourth Proportional to 10,753.67, 14,839.88 and 5,973.64

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Solution

The fourth proportional to 10,753.67, 14,839.88 and 5,973.64 is: 8,243.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,753.67 : 14,839.88 = 5,973.64 : x
  2. Step 2: Convert to fraction form
    10,753.67/14,839.88 = 5,973.64/x
  3. Step 3: Cross multiply
    10,753.67x = 14,839.88 × 5,973.64
  4. Step 4: Simplify right side
    10,753.67x = 88,648,033.80
  5. Step 5: Solve for x
    x = 88,648,033.80/10,753.67
  6. Step 6: Final answer
    x = 8,243.51

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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.