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Finding the Fourth Proportional to 11,884.66, 17,832.90 and 5,309.08

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Solution

The fourth proportional to 11,884.66, 17,832.90 and 5,309.08 is: 7,966.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,884.66 : 17,832.90 = 5,309.08 : x
  2. Step 2: Convert to fraction form
    11,884.66/17,832.90 = 5,309.08/x
  3. Step 3: Cross multiply
    11,884.66x = 17,832.90 × 5,309.08
  4. Step 4: Simplify right side
    11,884.66x = 94,676,292.73
  5. Step 5: Solve for x
    x = 94,676,292.73/11,884.66
  6. Step 6: Final answer
    x = 7,966.26

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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.