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Finding the Fourth Proportional to 8,493.93, 11,721.82 and 4,717

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Solution

The fourth proportional to 8,493.93, 11,721.82 and 4,717 is: 6,509.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,493.93 : 11,721.82 = 4,717 : x
  2. Step 2: Convert to fraction form
    8,493.93/11,721.82 = 4,717/x
  3. Step 3: Cross multiply
    8,493.93x = 11,721.82 × 4,717
  4. Step 4: Simplify right side
    8,493.93x = 55,291,824.94
  5. Step 5: Solve for x
    x = 55,291,824.94/8,493.93
  6. Step 6: Final answer
    x = 6,509.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.