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Finding the Fourth Proportional to 7,805.44, 11,707.69 and 2,258.66

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Solution

The fourth proportional to 7,805.44, 11,707.69 and 2,258.66 is: 3,387.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,805.44 : 11,707.69 = 2,258.66 : x
  2. Step 2: Convert to fraction form
    7,805.44/11,707.69 = 2,258.66/x
  3. Step 3: Cross multiply
    7,805.44x = 11,707.69 × 2,258.66
  4. Step 4: Simplify right side
    7,805.44x = 26,443,663.68
  5. Step 5: Solve for x
    x = 26,443,663.68/7,805.44
  6. Step 6: Final answer
    x = 3,387.85

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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.