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Finding the Fourth Proportional to 11,763.54, 17,646.87 and 6,217.11

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Solution

The fourth proportional to 11,763.54, 17,646.87 and 6,217.11 is: 9,326.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,763.54 : 17,646.87 = 6,217.11 : x
  2. Step 2: Convert to fraction form
    11,763.54/17,646.87 = 6,217.11/x
  3. Step 3: Cross multiply
    11,763.54x = 17,646.87 × 6,217.11
  4. Step 4: Simplify right side
    11,763.54x = 109,712,555.26
  5. Step 5: Solve for x
    x = 109,712,555.26/11,763.54
  6. Step 6: Final answer
    x = 9,326.49

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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.