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Finding the Fourth Proportional to 10,486.44, 15,729.66 and 3,560.94

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Solution

The fourth proportional to 10,486.44, 15,729.66 and 3,560.94 is: 5,341.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,486.44 : 15,729.66 = 3,560.94 : x
  2. Step 2: Convert to fraction form
    10,486.44/15,729.66 = 3,560.94/x
  3. Step 3: Cross multiply
    10,486.44x = 15,729.66 × 3,560.94
  4. Step 4: Simplify right side
    10,486.44x = 56,012,375.48
  5. Step 5: Solve for x
    x = 56,012,375.48/10,486.44
  6. Step 6: Final answer
    x = 5,341.41

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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.