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Finding the Fourth Proportional to 10,203.57, 14,080.84 and 6,224.04

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Solution

The fourth proportional to 10,203.57, 14,080.84 and 6,224.04 is: 8,589.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,203.57 : 14,080.84 = 6,224.04 : x
  2. Step 2: Convert to fraction form
    10,203.57/14,080.84 = 6,224.04/x
  3. Step 3: Cross multiply
    10,203.57x = 14,080.84 × 6,224.04
  4. Step 4: Simplify right side
    10,203.57x = 87,639,695.83
  5. Step 5: Solve for x
    x = 87,639,695.83/10,203.57
  6. Step 6: Final answer
    x = 8,589.12

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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.