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Finding the Fourth Proportional to 6,782.60, 10,178.22 and 2,886.96

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Solution

The fourth proportional to 6,782.60, 10,178.22 and 2,886.96 is: 4,332.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,782.60 : 10,178.22 = 2,886.96 : x
  2. Step 2: Convert to fraction form
    6,782.60/10,178.22 = 2,886.96/x
  3. Step 3: Cross multiply
    6,782.60x = 10,178.22 × 2,886.96
  4. Step 4: Simplify right side
    6,782.60x = 29,384,114.01
  5. Step 5: Solve for x
    x = 29,384,114.01/6,782.60
  6. Step 6: Final answer
    x = 4,332.28

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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.