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Finding the Fourth Proportional to 7,748.19, 11,664.44 and 7,059.29

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Solution

The fourth proportional to 7,748.19, 11,664.44 and 7,059.29 is: 10,627.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,748.19 : 11,664.44 = 7,059.29 : x
  2. Step 2: Convert to fraction form
    7,748.19/11,664.44 = 7,059.29/x
  3. Step 3: Cross multiply
    7,748.19x = 11,664.44 × 7,059.29
  4. Step 4: Simplify right side
    7,748.19x = 82,342,606.33
  5. Step 5: Solve for x
    x = 82,342,606.33/7,748.19
  6. Step 6: Final answer
    x = 10,627.33

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.