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Finding the Fourth Proportional to 8,523.96, 11,763.03 and 4,747.17

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Solution

The fourth proportional to 8,523.96, 11,763.03 and 4,747.17 is: 6,551.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,523.96 : 11,763.03 = 4,747.17 : x
  2. Step 2: Convert to fraction form
    8,523.96/11,763.03 = 4,747.17/x
  3. Step 3: Cross multiply
    8,523.96x = 11,763.03 × 4,747.17
  4. Step 4: Simplify right side
    8,523.96x = 55,841,041.21
  5. Step 5: Solve for x
    x = 55,841,041.21/8,523.96
  6. Step 6: Final answer
    x = 6,551.07

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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.