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Finding the Fourth Proportional to 11,208.30, 16,765.62 and 7,876.32

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Solution

The fourth proportional to 11,208.30, 16,765.62 and 7,876.32 is: 11,781.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,208.30 : 16,765.62 = 7,876.32 : x
  2. Step 2: Convert to fraction form
    11,208.30/16,765.62 = 7,876.32/x
  3. Step 3: Cross multiply
    11,208.30x = 16,765.62 × 7,876.32
  4. Step 4: Simplify right side
    11,208.30x = 132,051,388.12
  5. Step 5: Solve for x
    x = 132,051,388.12/11,208.30
  6. Step 6: Final answer
    x = 11,781.57

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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.