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Finding the Fourth Proportional to 7,963, 11,948.88 and 3,859

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Solution

The fourth proportional to 7,963, 11,948.88 and 3,859 is: 5,790.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,963 : 11,948.88 = 3,859 : x
  2. Step 2: Convert to fraction form
    7,963/11,948.88 = 3,859/x
  3. Step 3: Cross multiply
    7,963x = 11,948.88 × 3,859
  4. Step 4: Simplify right side
    7,963x = 46,110,727.92
  5. Step 5: Solve for x
    x = 46,110,727.92/7,963
  6. Step 6: Final answer
    x = 5,790.62

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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.