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Finding the Fourth Proportional to 10,238.40, 15,357.60 and 6,739.20

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Solution

The fourth proportional to 10,238.40, 15,357.60 and 6,739.20 is: 10,108.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,238.40 : 15,357.60 = 6,739.20 : x
  2. Step 2: Convert to fraction form
    10,238.40/15,357.60 = 6,739.20/x
  3. Step 3: Cross multiply
    10,238.40x = 15,357.60 × 6,739.20
  4. Step 4: Simplify right side
    10,238.40x = 103,497,937.92
  5. Step 5: Solve for x
    x = 103,497,937.92/10,238.40
  6. Step 6: Final answer
    x = 10,108.80

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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.