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Finding the Fourth Proportional to 7,911.14, 11,870.94 and 5,137.16

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Solution

The fourth proportional to 7,911.14, 11,870.94 and 5,137.16 is: 7,708.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,911.14 : 11,870.94 = 5,137.16 : x
  2. Step 2: Convert to fraction form
    7,911.14/11,870.94 = 5,137.16/x
  3. Step 3: Cross multiply
    7,911.14x = 11,870.94 × 5,137.16
  4. Step 4: Simplify right side
    7,911.14x = 60,982,918.13
  5. Step 5: Solve for x
    x = 60,982,918.13/7,911.14
  6. Step 6: Final answer
    x = 7,708.49

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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.