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Finding the Fourth Proportional to 8,276.94, 11,424 and 5,625.36

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Solution

The fourth proportional to 8,276.94, 11,424 and 5,625.36 is: 7,764.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,276.94 : 11,424 = 5,625.36 : x
  2. Step 2: Convert to fraction form
    8,276.94/11,424 = 5,625.36/x
  3. Step 3: Cross multiply
    8,276.94x = 11,424 × 5,625.36
  4. Step 4: Simplify right side
    8,276.94x = 64,264,112.64
  5. Step 5: Solve for x
    x = 64,264,112.64/8,276.94
  6. Step 6: Final answer
    x = 7,764.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.