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Finding the Fourth Proportional to 11,756.41, 17,632.79 and 3,434.47

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Solution

The fourth proportional to 11,756.41, 17,632.79 and 3,434.47 is: 5,151.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,756.41 : 17,632.79 = 3,434.47 : x
  2. Step 2: Convert to fraction form
    11,756.41/17,632.79 = 3,434.47/x
  3. Step 3: Cross multiply
    11,756.41x = 17,632.79 × 3,434.47
  4. Step 4: Simplify right side
    11,756.41x = 60,559,239.90
  5. Step 5: Solve for x
    x = 60,559,239.90/11,756.41
  6. Step 6: Final answer
    x = 5,151.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.