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Finding the Fourth Proportional to 7,918.36, 11,825.86 and 6,735.76

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Solution

The fourth proportional to 7,918.36, 11,825.86 and 6,735.76 is: 10,059.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,918.36 : 11,825.86 = 6,735.76 : x
  2. Step 2: Convert to fraction form
    7,918.36/11,825.86 = 6,735.76/x
  3. Step 3: Cross multiply
    7,918.36x = 11,825.86 × 6,735.76
  4. Step 4: Simplify right side
    7,918.36x = 79,656,154.75
  5. Step 5: Solve for x
    x = 79,656,154.75/7,918.36
  6. Step 6: Final answer
    x = 10,059.68

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.