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Finding the Fourth Proportional to 10,364.49, 15,542.10 and 2,967.21

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Solution

The fourth proportional to 10,364.49, 15,542.10 and 2,967.21 is: 4,449.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,364.49 : 15,542.10 = 2,967.21 : x
  2. Step 2: Convert to fraction form
    10,364.49/15,542.10 = 2,967.21/x
  3. Step 3: Cross multiply
    10,364.49x = 15,542.10 × 2,967.21
  4. Step 4: Simplify right side
    10,364.49x = 46,116,674.54
  5. Step 5: Solve for x
    x = 46,116,674.54/10,364.49
  6. Step 6: Final answer
    x = 4,449.49

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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.