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Finding the Fourth Proportional to 7,857.28, 11,782.95 and 3,959.02

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Solution

The fourth proportional to 7,857.28, 11,782.95 and 3,959.02 is: 5,937.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,857.28 : 11,782.95 = 3,959.02 : x
  2. Step 2: Convert to fraction form
    7,857.28/11,782.95 = 3,959.02/x
  3. Step 3: Cross multiply
    7,857.28x = 11,782.95 × 3,959.02
  4. Step 4: Simplify right side
    7,857.28x = 46,648,934.71
  5. Step 5: Solve for x
    x = 46,648,934.71/7,857.28
  6. Step 6: Final answer
    x = 5,937.03

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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.