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Finding the Fourth Proportional to 11,509.08, 17,230.82 and 7,803.33

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Solution

The fourth proportional to 11,509.08, 17,230.82 and 7,803.33 is: 11,682.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,509.08 : 17,230.82 = 7,803.33 : x
  2. Step 2: Convert to fraction form
    11,509.08/17,230.82 = 7,803.33/x
  3. Step 3: Cross multiply
    11,509.08x = 17,230.82 × 7,803.33
  4. Step 4: Simplify right side
    11,509.08x = 134,457,735.61
  5. Step 5: Solve for x
    x = 134,457,735.61/11,509.08
  6. Step 6: Final answer
    x = 11,682.75

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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.