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Finding the Fourth Proportional to 8,637.75, 12,959.69 and 4,258.31

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Solution

The fourth proportional to 8,637.75, 12,959.69 and 4,258.31 is: 6,388.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,637.75 : 12,959.69 = 4,258.31 : x
  2. Step 2: Convert to fraction form
    8,637.75/12,959.69 = 4,258.31/x
  3. Step 3: Cross multiply
    8,637.75x = 12,959.69 × 4,258.31
  4. Step 4: Simplify right side
    8,637.75x = 55,186,291.43
  5. Step 5: Solve for x
    x = 55,186,291.43/8,637.75
  6. Step 6: Final answer
    x = 6,388.97

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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.