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Finding the Fourth Proportional to 10,820.88, 14,933.16 and 6,105.24

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Solution

The fourth proportional to 10,820.88, 14,933.16 and 6,105.24 is: 8,425.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,820.88 : 14,933.16 = 6,105.24 : x
  2. Step 2: Convert to fraction form
    10,820.88/14,933.16 = 6,105.24/x
  3. Step 3: Cross multiply
    10,820.88x = 14,933.16 × 6,105.24
  4. Step 4: Simplify right side
    10,820.88x = 91,170,525.76
  5. Step 5: Solve for x
    x = 91,170,525.76/10,820.88
  6. Step 6: Final answer
    x = 8,425.43

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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.