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Finding the Fourth Proportional to 10,820.43, 14,932.62 and 6,343.56

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Solution

The fourth proportional to 10,820.43, 14,932.62 and 6,343.56 is: 8,754.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,820.43 : 14,932.62 = 6,343.56 : x
  2. Step 2: Convert to fraction form
    10,820.43/14,932.62 = 6,343.56/x
  3. Step 3: Cross multiply
    10,820.43x = 14,932.62 × 6,343.56
  4. Step 4: Simplify right side
    10,820.43x = 94,725,970.93
  5. Step 5: Solve for x
    x = 94,725,970.93/10,820.43
  6. Step 6: Final answer
    x = 8,754.36

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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.