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Finding the Fourth Proportional to 11,868.92, 17,778.26 and 7,696.53

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Solution

The fourth proportional to 11,868.92, 17,778.26 and 7,696.53 is: 11,528.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,868.92 : 17,778.26 = 7,696.53 : x
  2. Step 2: Convert to fraction form
    11,868.92/17,778.26 = 7,696.53/x
  3. Step 3: Cross multiply
    11,868.92x = 17,778.26 × 7,696.53
  4. Step 4: Simplify right side
    11,868.92x = 136,830,934.03
  5. Step 5: Solve for x
    x = 136,830,934.03/11,868.92
  6. Step 6: Final answer
    x = 11,528.51

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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.