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Finding the Fourth Proportional to 12,113.27, 16,717.02 and 6,735.82

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Solution

The fourth proportional to 12,113.27, 16,717.02 and 6,735.82 is: 9,295.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,113.27 : 16,717.02 = 6,735.82 : x
  2. Step 2: Convert to fraction form
    12,113.27/16,717.02 = 6,735.82/x
  3. Step 3: Cross multiply
    12,113.27x = 16,717.02 × 6,735.82
  4. Step 4: Simplify right side
    12,113.27x = 112,602,837.66
  5. Step 5: Solve for x
    x = 112,602,837.66/12,113.27
  6. Step 6: Final answer
    x = 9,295.82

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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.