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Finding the Fourth Proportional to 10,200.24, 14,062.12 and 6,837.20

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Solution

The fourth proportional to 10,200.24, 14,062.12 and 6,837.20 is: 9,425.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,200.24 : 14,062.12 = 6,837.20 : x
  2. Step 2: Convert to fraction form
    10,200.24/14,062.12 = 6,837.20/x
  3. Step 3: Cross multiply
    10,200.24x = 14,062.12 × 6,837.20
  4. Step 4: Simplify right side
    10,200.24x = 96,145,526.86
  5. Step 5: Solve for x
    x = 96,145,526.86/10,200.24
  6. Step 6: Final answer
    x = 9,425.81

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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.