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Finding the Fourth Proportional to 10,838.21, 14,956.73 and 6,122.48

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Solution

The fourth proportional to 10,838.21, 14,956.73 and 6,122.48 is: 8,449.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,838.21 : 14,956.73 = 6,122.48 : x
  2. Step 2: Convert to fraction form
    10,838.21/14,956.73 = 6,122.48/x
  3. Step 3: Cross multiply
    10,838.21x = 14,956.73 × 6,122.48
  4. Step 4: Simplify right side
    10,838.21x = 91,572,332.99
  5. Step 5: Solve for x
    x = 91,572,332.99/10,838.21
  6. Step 6: Final answer
    x = 8,449.03

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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.