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Finding the Fourth Proportional to 7,805.32, 11,708.74 and 2,258.54

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Solution

The fourth proportional to 7,805.32, 11,708.74 and 2,258.54 is: 3,388.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,805.32 : 11,708.74 = 2,258.54 : x
  2. Step 2: Convert to fraction form
    7,805.32/11,708.74 = 2,258.54/x
  3. Step 3: Cross multiply
    7,805.32x = 11,708.74 × 2,258.54
  4. Step 4: Simplify right side
    7,805.32x = 26,444,657.64
  5. Step 5: Solve for x
    x = 26,444,657.64/7,805.32
  6. Step 6: Final answer
    x = 3,388.03

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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.