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Finding the Fourth Proportional to 6,344.63, 8,752.65 and 4,107.23

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Solution

The fourth proportional to 6,344.63, 8,752.65 and 4,107.23 is: 5,666.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,344.63 : 8,752.65 = 4,107.23 : x
  2. Step 2: Convert to fraction form
    6,344.63/8,752.65 = 4,107.23/x
  3. Step 3: Cross multiply
    6,344.63x = 8,752.65 × 4,107.23
  4. Step 4: Simplify right side
    6,344.63x = 35,949,102.90
  5. Step 5: Solve for x
    x = 35,949,102.90/6,344.63
  6. Step 6: Final answer
    x = 5,666.07

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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.