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Finding the Fourth Proportional to 6,824.13, 10,225.26 and 6,168.03

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Solution

The fourth proportional to 6,824.13, 10,225.26 and 6,168.03 is: 9,242.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,824.13 : 10,225.26 = 6,168.03 : x
  2. Step 2: Convert to fraction form
    6,824.13/10,225.26 = 6,168.03/x
  3. Step 3: Cross multiply
    6,824.13x = 10,225.26 × 6,168.03
  4. Step 4: Simplify right side
    6,824.13x = 63,069,710.44
  5. Step 5: Solve for x
    x = 63,069,710.44/6,824.13
  6. Step 6: Final answer
    x = 9,242.16

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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.