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Finding the Fourth Proportional to 10,377.99, 15,566.78 and 2,982.49

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Solution

The fourth proportional to 10,377.99, 15,566.78 and 2,982.49 is: 4,473.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,377.99 : 15,566.78 = 2,982.49 : x
  2. Step 2: Convert to fraction form
    10,377.99/15,566.78 = 2,982.49/x
  3. Step 3: Cross multiply
    10,377.99x = 15,566.78 × 2,982.49
  4. Step 4: Simplify right side
    10,377.99x = 46,427,734.22
  5. Step 5: Solve for x
    x = 46,427,734.22/10,377.99
  6. Step 6: Final answer
    x = 4,473.67

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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.