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Finding the Fourth Proportional to 7,839.03, 11,754.77 and 4,553.13

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Solution

The fourth proportional to 7,839.03, 11,754.77 and 4,553.13 is: 6,827.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,839.03 : 11,754.77 = 4,553.13 : x
  2. Step 2: Convert to fraction form
    7,839.03/11,754.77 = 4,553.13/x
  3. Step 3: Cross multiply
    7,839.03x = 11,754.77 × 4,553.13
  4. Step 4: Simplify right side
    7,839.03x = 53,520,973.16
  5. Step 5: Solve for x
    x = 53,520,973.16/7,839.03
  6. Step 6: Final answer
    x = 6,827.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.