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Finding the Fourth Proportional to 8,268.74, 11,409.50 and 4,731.95

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Solution

The fourth proportional to 8,268.74, 11,409.50 and 4,731.95 is: 6,529.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,268.74 : 11,409.50 = 4,731.95 : x
  2. Step 2: Convert to fraction form
    8,268.74/11,409.50 = 4,731.95/x
  3. Step 3: Cross multiply
    8,268.74x = 11,409.50 × 4,731.95
  4. Step 4: Simplify right side
    8,268.74x = 53,989,138.31
  5. Step 5: Solve for x
    x = 53,989,138.31/8,268.74
  6. Step 6: Final answer
    x = 6,529.31

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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.