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Finding the Fourth Proportional to 10,765.98, 16,148.51 and 3,747.58

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Solution

The fourth proportional to 10,765.98, 16,148.51 and 3,747.58 is: 5,621.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,765.98 : 16,148.51 = 3,747.58 : x
  2. Step 2: Convert to fraction form
    10,765.98/16,148.51 = 3,747.58/x
  3. Step 3: Cross multiply
    10,765.98x = 16,148.51 × 3,747.58
  4. Step 4: Simplify right side
    10,765.98x = 60,517,899.97
  5. Step 5: Solve for x
    x = 60,517,899.97/10,765.98
  6. Step 6: Final answer
    x = 5,621.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.