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Finding the Fourth Proportional to 11,435.64, 17,149.82 and 3,642.63

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Solution

The fourth proportional to 11,435.64, 17,149.82 and 3,642.63 is: 5,462.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,435.64 : 17,149.82 = 3,642.63 : x
  2. Step 2: Convert to fraction form
    11,435.64/17,149.82 = 3,642.63/x
  3. Step 3: Cross multiply
    11,435.64x = 17,149.82 × 3,642.63
  4. Step 4: Simplify right side
    11,435.64x = 62,470,430.61
  5. Step 5: Solve for x
    x = 62,470,430.61/11,435.64
  6. Step 6: Final answer
    x = 5,462.78

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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.