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Finding the Fourth Proportional to 11,756.76, 17,632.50 and 3,434.76

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Solution

The fourth proportional to 11,756.76, 17,632.50 and 3,434.76 is: 5,151.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,756.76 : 17,632.50 = 3,434.76 : x
  2. Step 2: Convert to fraction form
    11,756.76/17,632.50 = 3,434.76/x
  3. Step 3: Cross multiply
    11,756.76x = 17,632.50 × 3,434.76
  4. Step 4: Simplify right side
    11,756.76x = 60,563,405.70
  5. Step 5: Solve for x
    x = 60,563,405.70/11,756.76
  6. Step 6: Final answer
    x = 5,151.37

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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.