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Finding the Fourth Proportional to 11,642.86, 17,465.33 and 3,322.72

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Solution

The fourth proportional to 11,642.86, 17,465.33 and 3,322.72 is: 4,984.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,642.86 : 17,465.33 = 3,322.72 : x
  2. Step 2: Convert to fraction form
    11,642.86/17,465.33 = 3,322.72/x
  3. Step 3: Cross multiply
    11,642.86x = 17,465.33 × 3,322.72
  4. Step 4: Simplify right side
    11,642.86x = 58,032,401.30
  5. Step 5: Solve for x
    x = 58,032,401.30/11,642.86
  6. Step 6: Final answer
    x = 4,984.38

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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.