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Finding the Fourth Proportional to 7,833.77, 11,750.69 and 2,287.25

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Solution

The fourth proportional to 7,833.77, 11,750.69 and 2,287.25 is: 3,430.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,833.77 : 11,750.69 = 2,287.25 : x
  2. Step 2: Convert to fraction form
    7,833.77/11,750.69 = 2,287.25/x
  3. Step 3: Cross multiply
    7,833.77x = 11,750.69 × 2,287.25
  4. Step 4: Simplify right side
    7,833.77x = 26,876,765.70
  5. Step 5: Solve for x
    x = 26,876,765.70/7,833.77
  6. Step 6: Final answer
    x = 3,430.89

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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.