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Finding the Fourth Proportional to 10,310.50, 15,464.01 and 2,913.22

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Solution

The fourth proportional to 10,310.50, 15,464.01 and 2,913.22 is: 4,369.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,310.50 : 15,464.01 = 2,913.22 : x
  2. Step 2: Convert to fraction form
    10,310.50/15,464.01 = 2,913.22/x
  3. Step 3: Cross multiply
    10,310.50x = 15,464.01 × 2,913.22
  4. Step 4: Simplify right side
    10,310.50x = 45,050,063.21
  5. Step 5: Solve for x
    x = 45,050,063.21/10,310.50
  6. Step 6: Final answer
    x = 4,369.34

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Why These Related Problems?

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