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Finding the Fourth Proportional to 10,820.62, 14,932.48 and 5,852.62

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Solution

The fourth proportional to 10,820.62, 14,932.48 and 5,852.62 is: 8,076.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,820.62 : 14,932.48 = 5,852.62 : x
  2. Step 2: Convert to fraction form
    10,820.62/14,932.48 = 5,852.62/x
  3. Step 3: Cross multiply
    10,820.62x = 14,932.48 × 5,852.62
  4. Step 4: Simplify right side
    10,820.62x = 87,394,131.10
  5. Step 5: Solve for x
    x = 87,394,131.10/10,820.62
  6. Step 6: Final answer
    x = 8,076.63

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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.