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Finding the Fourth Proportional to 10,420.45, 15,634.28 and 4,576.21

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Solution

The fourth proportional to 10,420.45, 15,634.28 and 4,576.21 is: 6,865.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,420.45 : 15,634.28 = 4,576.21 : x
  2. Step 2: Convert to fraction form
    10,420.45/15,634.28 = 4,576.21/x
  3. Step 3: Cross multiply
    10,420.45x = 15,634.28 × 4,576.21
  4. Step 4: Simplify right side
    10,420.45x = 71,545,748.48
  5. Step 5: Solve for x
    x = 71,545,748.48/10,420.45
  6. Step 6: Final answer
    x = 6,865.90

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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.