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Finding the Fourth Proportional to 11,759, 17,637.82 and 8,599.68

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Solution

The fourth proportional to 11,759, 17,637.82 and 8,599.68 is: 12,899.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,759 : 17,637.82 = 8,599.68 : x
  2. Step 2: Convert to fraction form
    11,759/17,637.82 = 8,599.68/x
  3. Step 3: Cross multiply
    11,759x = 17,637.82 × 8,599.68
  4. Step 4: Simplify right side
    11,759x = 151,679,607.90
  5. Step 5: Solve for x
    x = 151,679,607.90/11,759
  6. Step 6: Final answer
    x = 12,899.02

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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.