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Finding the Fourth Proportional to 11,784.08, 17,679 and 6,593.36

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Solution

The fourth proportional to 11,784.08, 17,679 and 6,593.36 is: 9,891.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,784.08 : 17,679 = 6,593.36 : x
  2. Step 2: Convert to fraction form
    11,784.08/17,679 = 6,593.36/x
  3. Step 3: Cross multiply
    11,784.08x = 17,679 × 6,593.36
  4. Step 4: Simplify right side
    11,784.08x = 116,564,011.44
  5. Step 5: Solve for x
    x = 116,564,011.44/11,784.08
  6. Step 6: Final answer
    x = 9,891.65

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