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Finding the Fourth Proportional to 10,341, 15,511.80 and 2,549.81

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Solution

The fourth proportional to 10,341, 15,511.80 and 2,549.81 is: 3,824.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,341 : 15,511.80 = 2,549.81 : x
  2. Step 2: Convert to fraction form
    10,341/15,511.80 = 2,549.81/x
  3. Step 3: Cross multiply
    10,341x = 15,511.80 × 2,549.81
  4. Step 4: Simplify right side
    10,341x = 39,552,191.10
  5. Step 5: Solve for x
    x = 39,552,191.10/10,341
  6. Step 6: Final answer
    x = 3,824.79

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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.