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Finding the Fourth Proportional to 10,299.34, 15,445.97 and 5,366.44

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Solution

The fourth proportional to 10,299.34, 15,445.97 and 5,366.44 is: 8,048.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,299.34 : 15,445.97 = 5,366.44 : x
  2. Step 2: Convert to fraction form
    10,299.34/15,445.97 = 5,366.44/x
  3. Step 3: Cross multiply
    10,299.34x = 15,445.97 × 5,366.44
  4. Step 4: Simplify right side
    10,299.34x = 82,889,871.25
  5. Step 5: Solve for x
    x = 82,889,871.25/10,299.34
  6. Step 6: Final answer
    x = 8,048.08

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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.