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Finding the Fourth Proportional to 7,802.26, 11,696.91 and 5,455.56

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Solution

The fourth proportional to 7,802.26, 11,696.91 and 5,455.56 is: 8,178.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,802.26 : 11,696.91 = 5,455.56 : x
  2. Step 2: Convert to fraction form
    7,802.26/11,696.91 = 5,455.56/x
  3. Step 3: Cross multiply
    7,802.26x = 11,696.91 × 5,455.56
  4. Step 4: Simplify right side
    7,802.26x = 63,813,194.32
  5. Step 5: Solve for x
    x = 63,813,194.32/7,802.26
  6. Step 6: Final answer
    x = 8,178.81

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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.