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Finding the Fourth Proportional to 10,717.13, 14,791.43 and 6,243.53

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Solution

The fourth proportional to 10,717.13, 14,791.43 and 6,243.53 is: 8,617.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,717.13 : 14,791.43 = 6,243.53 : x
  2. Step 2: Convert to fraction form
    10,717.13/14,791.43 = 6,243.53/x
  3. Step 3: Cross multiply
    10,717.13x = 14,791.43 × 6,243.53
  4. Step 4: Simplify right side
    10,717.13x = 92,350,631.77
  5. Step 5: Solve for x
    x = 92,350,631.77/10,717.13
  6. Step 6: Final answer
    x = 8,617.11

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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.