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Finding the Fourth Proportional to 10,449.84, 14,420.28 and 5,734.02

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Solution

The fourth proportional to 10,449.84, 14,420.28 and 5,734.02 is: 7,912.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,449.84 : 14,420.28 = 5,734.02 : x
  2. Step 2: Convert to fraction form
    10,449.84/14,420.28 = 5,734.02/x
  3. Step 3: Cross multiply
    10,449.84x = 14,420.28 × 5,734.02
  4. Step 4: Simplify right side
    10,449.84x = 82,686,173.93
  5. Step 5: Solve for x
    x = 82,686,173.93/10,449.84
  6. Step 6: Final answer
    x = 7,912.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.