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Finding the Fourth Proportional to 11,909.25, 17,870.36 and 5,753.25

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Solution

The fourth proportional to 11,909.25, 17,870.36 and 5,753.25 is: 8,633.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,909.25 : 17,870.36 = 5,753.25 : x
  2. Step 2: Convert to fraction form
    11,909.25/17,870.36 = 5,753.25/x
  3. Step 3: Cross multiply
    11,909.25x = 17,870.36 × 5,753.25
  4. Step 4: Simplify right side
    11,909.25x = 102,812,619.90
  5. Step 5: Solve for x
    x = 102,812,619.90/11,909.25
  6. Step 6: Final answer
    x = 8,633.01

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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.