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Finding the Fourth Proportional to 10,820.73, 14,932.31 and 6,105.45

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Solution

The fourth proportional to 10,820.73, 14,932.31 and 6,105.45 is: 8,425.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,820.73 : 14,932.31 = 6,105.45 : x
  2. Step 2: Convert to fraction form
    10,820.73/14,932.31 = 6,105.45/x
  3. Step 3: Cross multiply
    10,820.73x = 14,932.31 × 6,105.45
  4. Step 4: Simplify right side
    10,820.73x = 91,168,441.56
  5. Step 5: Solve for x
    x = 91,168,441.56/10,820.73
  6. Step 6: Final answer
    x = 8,425.35

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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.