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Finding the Fourth Proportional to 10,180.76, 15,266.14 and 3,606

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Solution

The fourth proportional to 10,180.76, 15,266.14 and 3,606 is: 5,407.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,180.76 : 15,266.14 = 3,606 : x
  2. Step 2: Convert to fraction form
    10,180.76/15,266.14 = 3,606/x
  3. Step 3: Cross multiply
    10,180.76x = 15,266.14 × 3,606
  4. Step 4: Simplify right side
    10,180.76x = 55,049,700.84
  5. Step 5: Solve for x
    x = 55,049,700.84/10,180.76
  6. Step 6: Final answer
    x = 5,407.23

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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.